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317382656 = 213174353
BaseRepresentation
bin10010111010101…
…110000000000000
3211010012201011012
4102322232000000
51122222221111
651254340052
710602464603
oct2272560000
9733181135
10317382656
11153177318
128a35a628
13509a5ab6
143021a33a
151cce448b
hex12eae000

317382656 has 112 divisors (see below), whose sum is σ = 700668144. Its totient is φ = 143130624.

The previous prime is 317382643. The next prime is 317382661. The reversal of 317382656 is 656283713.

It is a super-2 number, since 2×3173826562 = 201463500659228672, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5988326 + ... + 5988378.

Almost surely, 2317382656 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 317382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350334072).

317382656 is an abundant number, since it is smaller than the sum of its proper divisors (383285488).

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

317382656 is an equidigital number, since it uses as much as digits as its factorization.

317382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 317382656 is about 17815.2366248669. The cubic root of 317382656 is about 682.1204397963.

The spelling of 317382656 in words is "three hundred seventeen million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 43 53 64 68 86 106 128 136 172 212 256 272 344 424 512 544 688 731 848 901 1024 1088 1376 1462 1696 1802 2048 2176 2279 2752 2924 3392 3604 4096 4352 4558 5504 5848 6784 7208 8192 8704 9116 11008 11696 13568 14416 17408 18232 22016 23392 27136 28832 34816 36464 38743 44032 46784 54272 57664 69632 72928 77486 88064 93568 108544 115328 139264 145856 154972 176128 187136 217088 230656 291712 309944 352256 374272 434176 461312 583424 619888 748544 922624 1166848 1239776 1497088 1845248 2333696 2479552 2994176 3690496 4667392 4959104 5988352 7380992 9334784 9918208 18669568 19836416 39672832 79345664 158691328 317382656