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317668240 = 2455577129
BaseRepresentation
bin10010111011110…
…011101110010000
3211010202012220101
4102323303232100
51122310340430
651304422144
710605064321
oct2273635620
9733665811
10317668240
1115335193a
128a477954
1350a75a96
1430292448
151cd4ddca
hex12ef3b90

317668240 has 40 divisors (see below), whose sum is σ = 740008440. Its totient is φ = 126821376.

The previous prime is 317668231. The next prime is 317668261. The reversal of 317668240 is 42866713.

317668240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 310887424 = 2604^2 + 17632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3176682402 = 201826221409395200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 317668240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40996 + ... + 48124.

It is an arithmetic number, because the mean of its divisors is an integer number (18500211).

Almost surely, 2317668240 is an apocalyptic number.

317668240 is the 8912-nd decagonal number.

It is an amenable number.

317668240 is an abundant number, since it is smaller than the sum of its proper divisors (422340200).

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

317668240 is a wasteful number, since it uses less digits than its factorization.

317668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 317668240 is about 17823.2499842200. The cubic root of 317668240 is about 682.3249713303.

The spelling of 317668240 in words is "three hundred seventeen million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 557 1114 2228 2785 4456 5570 7129 8912 11140 14258 22280 28516 35645 44560 57032 71290 114064 142580 285160 570320 3970853 7941706 15883412 19854265 31766824 39708530 63533648 79417060 158834120 317668240