300s 301 302 303 304 305 306 307 308 309 310s 310 311 312 313 314 315 316 316 = 22 × 79, a
centered triangular number and a
centered heptagonal number.
317 317 is a prime number,
Eisenstein prime with no imaginary part, Chen prime, one of the rare primes to be both right and left-truncatable, and a strictly non-palindromic number. 317 is the exponent (and number of ones) in the fourth base-10
repunit prime.
318 319 319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109),
Smith number, cannot be represented as the sum of fewer than 19 fourth powers,
happy number in base 10
320s 320 320 = 26 × 5 = (25) × (2 × 5). 320 is a
Leyland number, and
maximum determinant of a 10 by 10 matrix of zeros and ones.
321 321 = 3 × 107, a
Delannoy number 322 322 = 2 × 7 × 23. 322 is a
sphenic, nontotient,
untouchable, and a
Lucas number. It is also the first unprimeable number to end in 2.
323 324 324 = 22 × 34 = 182. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number, and an untouchable number. and an untouchable number.
327 327 = 3 × 109. 327 is a
perfect totient number, number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing
328 328 = 23 × 41. 328 is a
refactorable number, and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
329 329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a
highly cototient number.
330s 330 330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67),
pentatope number (and hence a
binomial coefficient \tbinom {11}4 ), a
pentagonal number, divisible by the number of primes below it, and a
sparsely totient number.
331 331 is a prime number, super-prime,
cuban prime, a
lucky prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73),
centered pentagonal number,
centered hexagonal number, and
Mertens function returns 0.
332 332 = 22 × 83, Mertens function returns 0.
335 335 = 5 × 67. 335 is divisible by the number of primes below it, number of
Lyndon words of length 12.
336 336 = 24 × 3 × 7, untouchable number,
largely composite number.
337 337,
prime number,
emirp,
permutable prime with 373 and 733, Chen prime,
star number 338 338 = 2 × 132, nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.
339 339 = 3 × 113,
Ulam number 340s 340 340 = 22 × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of
4 (41 + 42 + 43 + 44), divisible by the number of primes below it, nontotient, noncototient. Untouchable number. noncototient,
Eisenstein prime with no imaginary part,
Chen prime,
350s 350 350 = 2 × 52 × 7 =
\left\{ {7 \atop 4} \right\}, primitive semiperfect number, divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.
351 351 = 33 × 13, 26th
triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of
Padovan sequence and number of compositions of 15 into distinct parts. • The international calling code for
Portugal 352 352 = 25 × 11, the number of
n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number sphenic number, The
cototient of 355 is 75, where 75 is the product of its digits (3 x 5 x 5 = 75). The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as
Milü and provides an extremely accurate approximation for pi, being accurate to seven digits.
356 356 = 22 × 89, Mertens function returns 0. • The international calling code for
Finland 359 360s 360 361 361 = 192. 361 is a centered triangular number,
centered octagonal number,
centered decagonal number, member of the
Mian–Chowla sequence; also the number of positions on a standard 19 x 19
Go board.
362 362 = 2 × 181 = σ2(19): sum of squares of divisors of 19, Mertens function returns 0, sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0, 26-gonal and 123-gonal. Also the number of days in a
leap year.
367 367 is a prime number, a lucky prime,
happy number,
prime index prime and a strictly non-palindromic number.
368 368 = 24 × 23. It is also a
Leyland number. the next such composite number is 2935561623745,
Armstrong number since 33 + 73 + 13 = 371.
372 372 = 22 × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61),
noncototient, one of the rare primes to be both right and left-truncatable (
two-sided prime), sum of five consecutive primes (67 + 71 + 73 + 79 + 83), sexy prime with 367 and 379,
permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114.
374 374 = 2 × 11 × 17,
sphenic number,
375 375 = 3 × 53, number of regions in regular 11-gon with all diagonals drawn.
376 376 = 23 × 47,
pentagonal number, nontotient, refactorable number.
cake number, hexagonal number, Smith number.
381 381 = 3 × 127, palindromic in base 2 and base 8. 381 is the sum of the first 16
prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).
382 382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59),
Smith number.
Woodall prime,
Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime.
4383 - 3383 is prime.
384 385 385 = 5 × 7 × 11,
sphenic number, the number of
integer partitions of 18. 385 = 102 + 92 + 82 + 72 + 62 + 52 + 42 + 32 + 22 + 12
386 386 = 2 × 193, nontotient, noncototient, number of surface points on a cube with edge-length 9.
387 387 = 32 × 43, number of graphical partitions of 22.
388 388 = 22 × 97 = solution to postage stamp problem with 6 stamps and 6 denominations, number of uniform rooted trees with 10 nodes.
389 389, prime number,
emirp, Eisenstein prime with no imaginary part, Chen prime,
391 391 = 17 × 23, Smith number, nontotient, noncototient.
396 396 = 22 × 32 × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number, 399! + 1 is prime. == References ==