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317742264 = 23347210007
BaseRepresentation
bin10010111100000…
…101110010111000
3211010212222110000
4102330011302320
51122320223024
651310153000
710605523200
oct2274056270
9733788400
10317742264
111533a2514
128a4b2760
1350aa0698
14302b1400
151cd65cc9
hex12f05cb8

317742264 has 120 divisors (see below), whose sum is σ = 1035377640. Its totient is φ = 90774432.

The previous prime is 317742259. The next prime is 317742277. The reversal of 317742264 is 462247713.

317742264 is a `hidden beast` number, since 3 + 177 + 422 + 64 = 666.

317742264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26749 + ... + 36755.

It is an arithmetic number, because the mean of its divisors is an integer number (8628147).

Almost surely, 2317742264 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 317742264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517688820).

317742264 is an abundant number, since it is smaller than the sum of its proper divisors (717635376).

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

317742264 is a wasteful number, since it uses less digits than its factorization.

317742264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039 (or 10019 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 317742264 is about 17825.3264766736. The cubic root of 317742264 is about 682.3779663469.

Adding to 317742264 its reverse (462247713), we get a palindrome (779989977).

The spelling of 317742264 in words is "three hundred seventeen million, seven hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10007 10584 15876 20014 30021 31752 40028 60042 70049 80056 90063 120084 140098 180126 210147 240168 270189 280196 360252 420294 490343 540378 560392 630441 720504 810567 840588 980686 1080756 1260882 1471029 1621134 1681176 1891323 1961372 2161512 2521764 2942058 3242268 3782646 3922744 4413087 5043528 5673969 5884116 6484536 7565292 8826174 11347938 11768232 13239261 15130584 17652348 22695876 26478522 35304696 39717783 45391752 52957044 79435566 105914088 158871132 317742264