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313104528 = 2435117321
BaseRepresentation
bin10010101010011…
…001100010010000
3210211011100200000
4102222121202100
51120123321103
651022530000
710521226122
oct2252314220
9724140600
10313104528
11150815080
1288a36900
134cb38769
142d825212
151c74baa3
hex12a99890

313104528 has 120 divisors (see below), whose sum is σ = 991457376. Its totient is φ = 94867200.

The previous prime is 313104523. The next prime is 313104529. The reversal of 313104528 is 825401313.

It is a happy number.

313104528 is a `hidden beast` number, since 3 + 131 + 0 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313104523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39108 + ... + 46428.

Almost surely, 2313104528 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 313104528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495728688).

313104528 is an abundant number, since it is smaller than the sum of its proper divisors (678352848).

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

313104528 is a wasteful number, since it uses less digits than its factorization.

313104528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 313104528 is about 17694.7599022988. The cubic root of 313104528 is about 679.0417066716.

The spelling of 313104528 in words is "three hundred thirteen million, one hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 7321 10692 14256 14642 21384 21963 29284 42768 43926 58568 65889 80531 87852 117136 131778 161062 175704 197667 241593 263556 322124 351408 395334 483186 527112 593001 644248 724779 790668 966372 1054224 1186002 1288496 1449558 1581336 1779003 1932744 2174337 2372004 2899116 3162672 3558006 3865488 4348674 4744008 5798232 6523011 7116012 8697348 9488016 11596464 13046022 14232024 17394696 19569033 26092044 28464048 34789392 39138066 52184088 78276132 104368176 156552264 313104528