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317398640 = 24513833677
BaseRepresentation
bin10010111010110…
…001111001110000
3211010020112002012
4102322301321300
51122223224030
651254542052
710602562316
oct2272617160
9733215065
10317398640
11153188329
128a367928
13509b0160
14302220b6
151cce9095
hex12eb1e70

317398640 has 80 divisors (see below), whose sum is σ = 804511008. Its totient is φ = 115749888.

The previous prime is 317398639. The next prime is 317398651. The reversal of 317398640 is 46893713.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 84482 + ... + 88158.

Almost surely, 2317398640 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 317398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402255504).

317398640 is an abundant number, since it is smaller than the sum of its proper divisors (487112368).

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

317398640 is a wasteful number, since it uses less digits than its factorization.

317398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 317398640 is about 17815.6852239817. The cubic root of 317398640 is about 682.1318905692.

The spelling of 317398640 in words is "three hundred seventeen million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 520 664 830 1040 1079 1328 1660 2158 3320 3677 4316 5395 6640 7354 8632 10790 14708 17264 18385 21580 29416 36770 43160 47801 58832 73540 86320 95602 147080 191204 239005 294160 305191 382408 478010 610382 764816 956020 1220764 1525955 1912040 2441528 3051910 3824080 3967483 4883056 6103820 7934966 12207640 15869932 19837415 24415280 31739864 39674830 63479728 79349660 158699320 317398640