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316882368 = 2634115557
BaseRepresentation
bin10010111000110…
…011110111000000
3211002021021220000
4102320303313000
51122110213433
651235520000
710565312205
oct2270636700
9732237800
10316882368
11152965460
128a159000
135085c17a
1430129cac
151cc46113
hex12e33dc0

316882368 has 140 divisors (see below), whose sum is σ = 1024917432. Its totient is φ = 96007680.

The previous prime is 316882343. The next prime is 316882411. The reversal of 316882368 is 863288613.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54246 + ... + 59802.

Almost surely, 2316882368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512458716).

316882368 is an abundant number, since it is smaller than the sum of its proper divisors (708035064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316882368 is a wasteful number, since it uses less digits than its factorization.

316882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5573 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 316882368 is about 17801.1900725766. The cubic root of 316882368 is about 681.7618441305.

The spelling of 316882368 in words is "three hundred sixteen million, eight hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 5557 6336 7128 9504 11114 14256 16671 19008 22228 28512 33342 44456 50013 57024 61127 66684 88912 100026 122254 133368 150039 177824 183381 200052 244508 266736 300078 355648 366762 400104 450117 489016 533472 550143 600156 733524 800208 900234 978032 1066944 1100286 1200312 1467048 1600416 1650429 1800468 1956064 2200572 2400624 2934096 3200832 3300858 3600936 3912128 4401144 4801248 4951287 5868192 6601716 7201872 8802288 9602496 9902574 11736384 13203432 14403744 17604576 19805148 26406864 28807488 35209152 39610296 52813728 79220592 105627456 158441184 316882368