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317214568 = 23113313
BaseRepresentation
bin10010111010000…
…100111101101000
3211002220011120201
4102322010331220
51122201331233
651251001544
710601164546
oct2272047550
9732804521
10317214568
11153072000
128a2992b4
1350947438
14301b4d96
151ccae77d
hex12e84f68

317214568 has 64 divisors (see below), whose sum is σ = 676016640. Its totient is φ = 139537200.

The previous prime is 317214539. The next prime is 317214571. The reversal of 317214568 is 865412713.

The cubic root of 317214568 is 682.

It is a perfect power (a cube), and thus also a powerful number.

317214568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10232713 + ... + 10232743.

It is an arithmetic number, because the mean of its divisors is an integer number (10562760).

Almost surely, 2317214568 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 317214568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338008320).

317214568 is an abundant number, since it is smaller than the sum of its proper divisors (358802072).

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

317214568 is an frugal number, since it uses more digits than its factorization.

317214568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 44 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 317214568 is about 17810.5184652216.

The spelling of 317214568 in words is "three hundred seventeen million, two hundred fourteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 961 968 1331 1364 1922 2662 2728 3751 3844 5324 7502 7688 10571 10648 15004 21142 29791 30008 41261 42284 59582 82522 84568 116281 119164 165044 232562 238328 327701 330088 465124 655402 930248 1279091 1310804 2558182 2621608 3604711 5116364 7209422 10232728 14418844 28837688 39651821 79303642 158607284 317214568