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323149056 = 2831753467
BaseRepresentation
bin10011010000101…
…101110100000000
3211112001200011120
4103100231310000
51130211232211
652022112240
711002502346
oct2320556400
9745050146
10323149056
1115645573a
129027b680
1351c44679
1430cbb996
151d582d06
hex1342dd00

323149056 has 144 divisors (see below), whose sum is σ = 929807424. Its totient is φ = 99254272.

The previous prime is 323149033. The next prime is 323149061. The reversal of 323149056 is 650941323.

It is a super-2 number, since 2×3231490562 = 208850624787382272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 691735 + ... + 692201.

It is an arithmetic number, because the mean of its divisors is an integer number (6456996).

Almost surely, 2323149056 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 323149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464903712).

323149056 is an abundant number, since it is smaller than the sum of its proper divisors (606658368).

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

323149056 is a wasteful number, since it uses less digits than its factorization.

323149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 323149056 is about 17976.3471261544. The cubic root of 323149056 is about 686.2267296465.

The spelling of 323149056 in words is "three hundred twenty-three million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 256 272 318 384 408 424 467 544 636 768 816 848 901 934 1088 1272 1401 1632 1696 1802 1868 2176 2544 2703 2802 3264 3392 3604 3736 4352 5088 5406 5604 6528 6784 7208 7472 7939 10176 10812 11208 13056 13568 14416 14944 15878 20352 21624 22416 23817 24751 28832 29888 31756 40704 43248 44832 47634 49502 57664 59776 63512 74253 86496 89664 95268 99004 115328 119552 127024 148506 172992 179328 190536 198008 230656 254048 297012 345984 358656 381072 396016 420767 508096 594024 691968 762144 792032 841534 1016192 1188048 1262301 1524288 1584064 1683068 2032384 2376096 2524602 3048576 3168128 3366136 4752192 5049204 6097152 6336256 6732272 9504384 10098408 13464544 19008768 20196816 26929088 40393632 53858176 80787264 107716352 161574528 323149056