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317880960 = 2735179739
BaseRepresentation
bin10010111100100…
…111101010000000
3211011011000200220
4102330213222000
51122334142320
651313143040
710606641435
oct2274475200
9734130626
10317880960
11153487741
128a55aa80
1350b1b857
1430309b8c
151cd91e40
hex12f27a80

317880960 has 128 divisors (see below), whose sum is σ = 1072958400. Its totient is φ = 79773696.

The previous prime is 317880929. The next prime is 317880989. The reversal of 317880960 is 69088713.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27771 + ... + 37509.

Almost surely, 2317880960 is an apocalyptic number.

317880960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536479200).

317880960 is an abundant number, since it is smaller than the sum of its proper divisors (755077440).

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

317880960 is a wasteful number, since it uses less digits than its factorization.

317880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9766 counting only the distinct ones).

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

The square root of 317880960 is about 17829.2164718476. The cubic root of 317880960 is about 682.4772389731.

The spelling of 317880960 in words is "three hundred seventeen million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 9739 10880 16320 19478 29217 32640 38956 48695 58434 77912 97390 116868 146085 155824 165563 194780 233736 292170 311648 331126 389560 467472 496689 584340 623296 662252 779120 827815 934944 993378 1168680 1246592 1324504 1558240 1655630 1869888 1986756 2337360 2483445 2649008 3116480 3311260 3739776 3973512 4674720 4966890 5298016 6232960 6622520 7947024 9349440 9933780 10596032 13245040 15894048 18698880 19867560 21192064 26490080 31788096 39735120 52980160 63576192 79470240 105960320 158940480 317880960