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317080656 = 2434892749
BaseRepresentation
bin10010111001100…
…100010001010000
3211002122100220000
4102321210101100
51122133040111
651244050000
710600066254
oct2271442120
9732570800
10317080656
11152a90432
128a233900
13508cb4b9
143017c264
151cc84c56
hex12e64450

317080656 has 100 divisors (see below), whose sum is σ = 928372500. Its totient is φ = 104467968.

The previous prime is 317080627. The next prime is 317080663. The reversal of 317080656 is 656080713.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 268304400 = 6984^2 + 16380^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 317080656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113970 + ... + 116718.

It is an arithmetic number, because the mean of its divisors is an integer number (9283725).

Almost surely, 2317080656 is an apocalyptic number.

317080656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317080656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464186250).

317080656 is an abundant number, since it is smaller than the sum of its proper divisors (611291844).

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

317080656 is a wasteful number, since it uses less digits than its factorization.

317080656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 317080656 is about 17806.7587168468. The cubic root of 317080656 is about 681.9040178189.

The spelling of 317080656 in words is "three hundred seventeen million, eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 267 324 356 432 534 648 712 801 1068 1296 1424 1602 2136 2403 2749 3204 4272 4806 5498 6408 7209 8247 9612 10996 12816 14418 16494 19224 21992 24741 28836 32988 38448 43984 49482 57672 65976 74223 98964 115344 131952 148446 197928 222669 244661 296892 395856 445338 489322 593784 733983 890676 978644 1187568 1467966 1781352 1957288 2201949 2935932 3562704 3914576 4403898 5871864 6605847 8807796 11743728 13211694 17615592 19817541 26423388 35231184 39635082 52846776 79270164 105693552 158540328 317080656