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318322048 = 27111973163
BaseRepresentation
bin10010111110010…
…011010110000000
3211011222102202111
4102332103112000
51122442301143
651330425104
710613456422
oct2276232600
9734872674
10318322048
11153759080
128a732194
1350c44555
14303c2812
151ce2c99d
hex12f93580

318322048 has 128 divisors (see below), whose sum is σ = 742723200. Its totient is φ = 134369280.

The previous prime is 318322031. The next prime is 318322091. The reversal of 318322048 is 840223813.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1952815 + ... + 1952977.

It is an arithmetic number, because the mean of its divisors is an integer number (5802525).

Almost surely, 2318322048 is an apocalyptic number.

318322048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371361600).

318322048 is an abundant number, since it is smaller than the sum of its proper divisors (424401152).

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

318322048 is a wasteful number, since it uses less digits than its factorization.

318322048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 318322048 is about 17841.5819926373. The cubic root of 318322048 is about 682.7927589623.

The spelling of 318322048 in words is "three hundred eighteen million, three hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 73 76 88 128 146 152 163 176 209 292 304 326 352 418 584 608 652 704 803 836 1168 1216 1304 1387 1408 1606 1672 1793 2336 2432 2608 2774 3097 3212 3344 3586 4672 5216 5548 6194 6424 6688 7172 9344 10432 11096 11899 12388 12848 13376 14344 15257 20864 22192 23798 24776 25696 26752 28688 30514 34067 44384 47596 49552 51392 57376 61028 68134 88768 95192 99104 102784 114752 122056 130889 136268 177536 190384 198208 226081 229504 244112 261778 272536 380768 396416 452162 488224 523556 545072 761536 904324 976448 1047112 1090144 1523072 1808648 1952896 2094224 2180288 2486891 3617296 4188448 4360576 4973782 7234592 8376896 9947564 14469184 16753792 19895128 28938368 39790256 79580512 159161024 318322048