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317086016 = 2613973929
BaseRepresentation
bin10010111001100…
…101100101000000
3211002122122020112
4102321211211000
51122133223031
651244130452
710600121012
oct2271454500
9732578215
10317086016
11152a94465
128a236a28
1350900a80
14301801b2
151cc8662b
hex12e65940

317086016 has 56 divisors (see below), whose sum is σ = 684778920. Its totient is φ = 144801792.

The previous prime is 317085997. The next prime is 317086031. The reversal of 317086016 is 610680713.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 316840000 = 496^2 + 17800^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 78740 + ... + 82668.

It is an arithmetic number, because the mean of its divisors is an integer number (12228195).

Almost surely, 2317086016 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 317086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342389460).

317086016 is an abundant number, since it is smaller than the sum of its proper divisors (367692904).

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

317086016 is a wasteful number, since it uses less digits than its factorization.

317086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 317086016 is about 17806.9092208614. The cubic root of 317086016 is about 681.9078601482.

The spelling of 317086016 in words is "three hundred seventeen million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 832 1261 1552 2522 3104 3929 5044 6208 7858 10088 15716 20176 31432 40352 51077 62864 80704 102154 125728 204308 251456 381113 408616 762226 817232 1524452 1634464 3048904 3268928 4954469 6097808 9908938 12195616 19817876 24391232 39635752 79271504 158543008 317086016