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317420640 = 2533573477
BaseRepresentation
bin10010111010110…
…111010001100000
3211010021122021000
4102322313101200
51122224430030
651255232000
710603013415
oct2272672140
9733248230
10317420640
111531a2909
128a378600
13509ba184
143022a10c
151cd00860
hex12eb7460

317420640 has 96 divisors (see below), whose sum is σ = 1110987360. Its totient is φ = 84644352.

The previous prime is 317420639. The next prime is 317420681. The reversal of 317420640 is 46024713.

317420640 is a `hidden beast` number, since 3 + 17 + 4 + 2 + 0 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 32419 + ... + 41058.

It is an arithmetic number, because the mean of its divisors is an integer number (11572785).

Almost surely, 2317420640 is an apocalyptic number.

317420640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

317420640 is an abundant number, since it is smaller than the sum of its proper divisors (793566720).

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

317420640 is a wasteful number, since it uses less digits than its factorization.

317420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73501 (or 73487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 317420640 is about 17816.3026467334. The cubic root of 317420640 is about 682.1476505137.

The spelling of 317420640 in words is "three hundred seventeen million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 73477 146954 220431 293908 367385 440862 587816 661293 734770 881724 1102155 1175632 1322586 1469540 1763448 1983879 2204310 2351264 2645172 2939080 3306465 3526896 3967758 4408620 5290344 5878160 6612930 7053792 7935516 8817240 9919395 10580688 11756320 13225860 15871032 17634480 19838790 21161376 26451720 31742064 35268960 39677580 52903440 63484128 79355160 105806880 158710320 317420640