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317822472 = 23321121912
BaseRepresentation
bin10010111100011…
…001011000001000
3211011001001110200
4102330121120020
51122330304342
651312012200
710606306062
oct2274313010
9734031420
10317822472
11153447800
128a531060
1350acb046
14302d2732
151cd7e94c
hex12f19608

317822472 has 108 divisors (see below), whose sum is σ = 951114255. Its totient is φ = 95805600.

The previous prime is 317822467. The next prime is 317822539. The reversal of 317822472 is 274228713.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 158911236 + 158911236 = 12606^2 + 12606^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12606.

It is a super-2 number, since 2×3178224722 = 202022247416381568, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1663897 + ... + 1664087.

Almost surely, 2317822472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317822472

317822472 is an abundant number, since it is smaller than the sum of its proper divisors (633291783).

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

317822472 is a wasteful number, since it uses less digits than its factorization.

317822472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 207 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 317822472 is about 17827.5761672752. The cubic root of 317822472 is about 682.4353793022.

The spelling of 317822472 in words is "three hundred seventeen million, eight hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 191 198 242 264 363 382 396 484 573 726 764 792 968 1089 1146 1452 1528 1719 2101 2178 2292 2904 3438 4202 4356 4584 6303 6876 8404 8712 12606 13752 16808 18909 23111 25212 36481 37818 46222 50424 69333 72962 75636 92444 109443 138666 145924 151272 184888 207999 218886 277332 291848 328329 401291 415998 437772 554664 656658 802582 831996 875544 1203873 1313316 1605164 1663992 2407746 2626632 3210328 3611619 4414201 4815492 7223238 8828402 9630984 13242603 14446476 17656804 26485206 28892952 35313608 39727809 52970412 79455618 105940824 158911236 317822472