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317772672 = 2737118219
BaseRepresentation
bin10010111100001…
…101001110000000
3211010221112011020
4102330031032000
51122322211142
651310545440
710606010640
oct2274151600
9733845136
10317772672
11153413348
128a508280
1350ab1489
14302bc520
151cd6ecec
hex12f0d380

317772672 has 64 divisors (see below), whose sum is σ = 964675200. Its totient is φ = 90791424.

The previous prime is 317772671. The next prime is 317772677. The reversal of 317772672 is 276277713.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317772671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56422 + ... + 61797.

It is an arithmetic number, because the mean of its divisors is an integer number (15073050).

Almost surely, 2317772672 is an apocalyptic number.

317772672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

317772672 is an abundant number, since it is smaller than the sum of its proper divisors (646902528).

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

317772672 is a wasteful number, since it uses less digits than its factorization.

317772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118243 (or 118231 counting only the distinct ones).

The product of its digits is 172872, while the sum is 42.

The square root of 317772672 is about 17826.1793999724. The cubic root of 317772672 is about 682.3997335564.

The spelling of 317772672 in words is "three hundred seventeen million, seven hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 118219 236438 354657 472876 709314 827533 945752 1418628 1655066 1891504 2482599 2837256 3310132 3783008 4965198 5674512 6620264 7566016 9930396 11349024 13240528 15132032 19860792 22698048 26481056 39721584 45396096 52962112 79443168 105924224 158886336 317772672