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317808096 = 25337131683
BaseRepresentation
bin10010111100010…
…101110111100000
3211011000022202020
4102330111313200
51122324324341
651311421440
710606216134
oct2274256740
9734008666
10317808096
11153437a21
128a524880
1350ac4638
14302cb3c4
151cd7a566
hex12f15de0

317808096 has 96 divisors (see below), whose sum is σ = 864597888. Its totient is φ = 102136320.

The previous prime is 317808091. The next prime is 317808103. The reversal of 317808096 is 690808713.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317808091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464971 + ... + 465653.

It is an arithmetic number, because the mean of its divisors is an integer number (9006228).

Almost surely, 2317808096 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 317808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432298944).

317808096 is an abundant number, since it is smaller than the sum of its proper divisors (546789792).

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

317808096 is a wasteful number, since it uses less digits than its factorization.

317808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 317808096 is about 17827.1729671308. The cubic root of 317808096 is about 682.4250896596.

The spelling of 317808096 in words is "three hundred seventeen million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 131 148 222 262 296 393 444 524 592 683 786 888 1048 1184 1366 1572 1776 2049 2096 2732 3144 3552 4098 4192 4847 5464 6288 8196 9694 10928 12576 14541 16392 19388 21856 25271 29082 32784 38776 50542 58164 65568 75813 77552 89473 101084 116328 151626 155104 178946 202168 232656 268419 303252 357892 404336 465312 536838 606504 715784 808672 1073676 1213008 1431568 2147352 2426016 2863136 3310501 4294704 6621002 8589408 9931503 13242004 19863006 26484008 39726012 52968016 79452024 105936032 158904048 317808096