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318116304 = 243211474273
BaseRepresentation
bin10010111101100…
…001000111010000
3211011120222112100
4102331201013100
51122414210204
651322200400
710611641532
oct2275410720
9734528470
10318116304
11153628540
128a653100
1350ba19cc
143036b852
151cddba39
hex12f611d0

318116304 has 120 divisors (see below), whose sum is σ = 992115072. Its totient is φ = 94325760.

The previous prime is 318116299. The next prime is 318116317. The reversal of 318116304 is 403611813.

318116304 is a `hidden beast` number, since 3 + 18 + 11 + 630 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 72312 + ... + 76584.

Almost surely, 2318116304 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 318116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496057536).

318116304 is an abundant number, since it is smaller than the sum of its proper divisors (673998768).

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

318116304 is a wasteful number, since it uses less digits than its factorization.

318116304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 318116304 is about 17835.8152042456. The cubic root of 318116304 is about 682.6456220285.

The spelling of 318116304 in words is "three hundred eighteen million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3102 3384 4136 4273 4653 6204 6768 8272 8546 9306 12408 12819 17092 18612 24816 25638 34184 37224 38457 47003 51276 68368 74448 76914 94006 102552 141009 153828 188012 200831 205104 282018 307656 376024 401662 423027 564036 602493 615312 752048 803324 846054 1128072 1204986 1606648 1692108 1807479 2209141 2256144 2409972 3213296 3384216 3614958 4418282 4819944 6627423 6768432 7229916 8836564 9639888 13254846 14459832 17673128 19882269 26509692 28919664 35346256 39764538 53019384 79529076 106038768 159058152 318116304