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315904472 = 231317197907
BaseRepresentation
bin10010110101000…
…101000111011000
3211000102121110122
4102311011013120
51121332420342
651202532412
710554100202
oct2265050730
9730377418
10315904472
11152357784
1289967108
13505a9030
142dd53772
151cb014d2
hex12d451d8

315904472 has 64 divisors (see below), whose sum is σ = 679583520. Its totient is φ = 136378368.

The previous prime is 315904447. The next prime is 315904493. The reversal of 315904472 is 274409513.

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, 347843 + ... + 348749.

Almost surely, 2315904472 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 315904472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339791760).

315904472 is an abundant number, since it is smaller than the sum of its proper divisors (363679048).

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

315904472 is a wasteful number, since it uses less digits than its factorization.

315904472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 315904472 is about 17773.7016966078. The cubic root of 315904472 is about 681.0598179447.

The spelling of 315904472 in words is "three hundred fifteen million, nine hundred four thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 197 221 394 442 788 884 907 1576 1768 1814 2561 3349 3628 5122 6698 7256 10244 11791 13396 15419 20488 23582 26792 30838 43537 47164 61676 87074 94328 123352 174148 178679 200447 348296 357358 400894 714716 801788 1429432 1603576 2322827 3037543 4645654 6075086 9291308 12150172 18582616 24300344 39488059 78976118 157952236 315904472