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317696040 = 23335436841
BaseRepresentation
bin10010111011111…
…010100000101000
3211010210122001000
4102323322200220
51122312233130
651305155000
710605241344
oct2273724050
9733718030
10317696040
11153370812
128a48ba60
1350a8562c
143029c624
151cd57260
hex12efa828

317696040 has 128 divisors (see below), whose sum is σ = 1083772800. Its totient is φ = 82736640.

The previous prime is 317696039. The next prime is 317696053. The reversal of 317696040 is 40696713.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 317695986 and 317696004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43020 + ... + 49860.

It is an arithmetic number, because the mean of its divisors is an integer number (8466975).

Almost surely, 2317696040 is an apocalyptic number.

317696040 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 317696040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541886400).

317696040 is an abundant number, since it is smaller than the sum of its proper divisors (766076760).

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

317696040 is a wasteful number, since it uses less digits than its factorization.

317696040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 317696040 is about 17824.0298473718. The cubic root of 317696040 is about 682.3448747793.

The spelling of 317696040 in words is "three hundred seventeen million, six hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 6841 7740 9288 11610 13682 15480 20523 23220 27364 34205 41046 46440 54728 61569 68410 82092 102615 123138 136820 164184 184707 205230 246276 273640 294163 307845 369414 410460 492552 588326 615690 738828 820920 882489 923535 1176652 1231380 1470815 1477656 1764978 1847070 2353304 2462760 2647467 2941630 3529956 3694140 4412445 5294934 5883260 7059912 7388280 7942401 8824890 10589868 11766520 13237335 15884802 17649780 21179736 26474670 31769604 35299560 39712005 52949340 63539208 79424010 105898680 158848020 317696040