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317253504 = 2732931919
BaseRepresentation
bin10010111010001…
…110011110000000
3211002222010222210
4102322032132000
51122204103004
651251502120
710601416221
oct2272163600
9732863883
10317253504
11153099287
128a2b7940
135095c089
14301c5248
151ccbb089
hex12e8e780

317253504 has 128 divisors (see below), whose sum is σ = 900864000. Its totient is φ = 98703360.

The previous prime is 317253491. The next prime is 317253539. The reversal of 317253504 is 405352713.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344757 + ... + 345675.

It is an arithmetic number, because the mean of its divisors is an integer number (7038000).

Almost surely, 2317253504 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 317253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450432000).

317253504 is an abundant number, since it is smaller than the sum of its proper divisors (583610496).

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

317253504 is a wasteful number, since it uses less digits than its factorization.

317253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 317253504 is about 17811.6114936297. The cubic root of 317253504 is about 682.0279025285.

The spelling of 317253504 in words is "three hundred seventeen million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 348 372 384 464 496 696 744 899 919 928 992 1392 1488 1798 1838 1856 1984 2697 2757 2784 2976 3596 3676 3712 3968 5394 5514 5568 5952 7192 7352 10788 11028 11136 11904 14384 14704 21576 22056 26651 28489 28768 29408 43152 44112 53302 56978 57536 58816 79953 85467 86304 88224 106604 113956 115072 117632 159906 170934 172608 176448 213208 227912 319812 341868 345216 352896 426416 455824 639624 683736 826181 852832 911648 1279248 1367472 1652362 1705664 1823296 2478543 2558496 2734944 3304724 3411328 3646592 4957086 5116992 5469888 6609448 9914172 10233984 10939776 13218896 19828344 26437792 39656688 52875584 79313376 105751168 158626752 317253504