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3234992256 = 2734509613
BaseRepresentation
bin1100000011010010…
…0001000010000000
322100110012122010000
43000310201002000
523111124223011
61253001040000
7143110660206
oct30064410200
98313178100
103234992256
111410083621
12763486000
133c72a0c02
142298d7076
1513e011356
hexc0d21080

3234992256 has 160 divisors (see below), whose sum is σ = 9661934700. Its totient is φ = 1074456576.

The previous prime is 3234992239. The next prime is 3234992263. The reversal of 3234992256 is 6522994323.

It can be written as a sum of positive squares in 2 ways, for example, as 3113640000 + 121352256 = 55800^2 + 11016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5277006 + ... + 5277618.

Almost surely, 23234992256 is an apocalyptic number.

3234992256 is a gapful number since it is divisible by the number (36) 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 3234992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830967350).

3234992256 is an abundant number, since it is smaller than the sum of its proper divisors (6426942444).

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

3234992256 is an equidigital number, since it uses as much as digits as its factorization.

3234992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3234992256 is about 56876.9923255441. The cubic root of 3234992256 is about 1478.9644960187.

The spelling of 3234992256 in words is "three billion, two hundred thirty-four million, nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 509 576 613 648 864 1018 1152 1226 1296 1527 1728 1839 2036 2452 2592 3054 3456 3678 4072 4581 4904 5184 5517 6108 7356 8144 9162 9808 10368 11034 12216 13743 14712 16288 16551 18324 19616 22068 24432 27486 29424 32576 33102 36648 39232 41229 44136 48864 49653 54972 58848 65152 66204 73296 78464 82458 88272 97728 99306 109944 117696 132408 146592 164916 176544 195456 198612 219888 235392 264816 293184 312017 329832 353088 397224 439776 529632 586368 624034 659664 706176 794448 879552 936051 1059264 1248068 1319328 1588896 1759104 1872102 2118528 2496136 2638656 2808153 3177792 3744204 4992272 5277312 5616306 6355584 7488408 8424459 9984544 11232612 14976816 16848918 19969088 22465224 25273377 29953632 33697836 39938176 44930448 50546754 59907264 67395672 89860896 101093508 119814528 134791344 179721792 202187016 269582688 359443584 404374032 539165376 808748064 1078330752 1617496128 3234992256