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296792064 = 212328397
BaseRepresentation
bin10001101100001…
…011000000000000
3202200110121011200
4101230023000000
51101434321224
645241141200
710232455662
oct2154130000
9680417150
10296792064
111425932a8
128348a800
134964690a
142b5ba532
151b0c85c9
hex11b0b000

296792064 has 156 divisors (see below), whose sum is σ = 876568056. Its totient is φ = 96731136.

The previous prime is 296792051. The next prime is 296792087. The reversal of 296792064 is 460297692.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3059664 + ... + 3059760.

It is an arithmetic number, because the mean of its divisors is an integer number (5619026).

Almost surely, 2296792064 is an apocalyptic number.

296792064 is a gapful number since it is divisible by the number (24) 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 296792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438284028).

296792064 is an abundant number, since it is smaller than the sum of its proper divisors (579775992).

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

296792064 is an equidigital number, since it uses as much as digits as its factorization.

296792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 296792064 is about 17227.6540480705. The cubic root of 296792064 is about 667.0382852554.

The spelling of 296792064 in words is "two hundred ninety-six million, seven hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 97 128 144 166 192 194 249 256 288 291 332 384 388 498 512 576 582 664 747 768 776 873 996 1024 1152 1164 1328 1494 1536 1552 1746 1992 2048 2304 2328 2656 2988 3072 3104 3492 3984 4096 4608 4656 5312 5976 6144 6208 6984 7968 8051 9216 9312 10624 11952 12288 12416 13968 15936 16102 18432 18624 21248 23904 24153 24832 27936 31872 32204 36864 37248 42496 47808 48306 49664 55872 63744 64408 72459 74496 84992 95616 96612 99328 111744 127488 128816 144918 148992 169984 191232 193224 198656 223488 254976 257632 289836 297984 339968 382464 386448 397312 446976 509952 515264 579672 595968 764928 772896 893952 1019904 1030528 1159344 1191936 1529856 1545792 1787904 2061056 2318688 3059712 3091584 3575808 4122112 4637376 6183168 8244224 9274752 12366336 16488448 18549504 24732672 32976896 37099008 49465344 74198016 98930688 148396032 296792064