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312683904 = 27321320879
BaseRepresentation
bin10010101000110…
…010110110000000
3210210100222200100
4102220302312000
51120021341104
651005522400
710514524611
oct2250626600
9723328610
10312683904
11150558055
1288873400
134ca1c180
142d755c08
151c6b7139
hex12a32d80

312683904 has 96 divisors (see below), whose sum is σ = 969040800. Its totient is φ = 96205824.

The previous prime is 312683897. The next prime is 312683923. The reversal of 312683904 is 409386213.

312683904 is a `hidden beast` number, since 3 + 1 + 268 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4537 + ... + 25415.

It is an arithmetic number, because the mean of its divisors is an integer number (10094175).

Almost surely, 2312683904 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 312683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484520400).

312683904 is an abundant number, since it is smaller than the sum of its proper divisors (656356896).

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

312683904 is a wasteful number, since it uses less digits than its factorization.

312683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20912 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312683904 is about 17682.8703552336. The cubic root of 312683904 is about 678.7374959796.

The spelling of 312683904 in words is "three hundred twelve million, six hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 20879 41758 62637 83516 125274 167032 187911 250548 271427 334064 375822 501096 542854 668128 751644 814281 1002192 1085708 1336256 1503288 1628562 2004384 2171416 2442843 2672512 3006576 3257124 4008768 4342832 4885686 6013152 6514248 8017536 8685664 9771372 12026304 13028496 17371328 19542744 24052608 26056992 34742656 39085488 52113984 78170976 104227968 156341952 312683904