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316729504 = 25713234729
BaseRepresentation
bin10010111000001…
…110100010100000
3211001222112012101
4102320032202200
51122040321004
651232340144
710564104430
oct2270164240
9731875171
10316729504
11152870623
128a0a4654
1350807710
14300ca2c0
151cc15ba4
hex12e0e8a0

316729504 has 96 divisors (see below), whose sum is σ = 800997120. Its totient is φ = 119826432.

The previous prime is 316729493. The next prime is 316729531. The reversal of 316729504 is 405927613.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64612 + ... + 69340.

It is an arithmetic number, because the mean of its divisors is an integer number (8343720).

Almost surely, 2316729504 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 316729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400498560).

316729504 is an abundant number, since it is smaller than the sum of its proper divisors (484267616).

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

316729504 is a wasteful number, since it uses less digits than its factorization.

316729504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 316729504 is about 17796.8959091185. The cubic root of 316729504 is about 681.6521992321.

The spelling of 316729504 in words is "three hundred sixteen million, seven hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 4186 4729 4784 5152 8372 9458 9568 16744 18916 33103 33488 37832 61477 66206 66976 75664 108767 122954 132412 151328 217534 245908 264824 430339 435068 491816 529648 761369 860678 870136 983632 1059296 1413971 1522738 1721356 1740272 1967264 2827942 3045476 3442712 3480544 5655884 6090952 6885424 9897797 11311768 12181904 13770848 19795594 22623536 24363808 39591188 45247072 79182376 158364752 316729504