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296097264 = 24327128961
BaseRepresentation
bin10001101001100…
…001010111110000
3202122011022002100
4101221201113300
51101300103024
645214220400
710223533221
oct2151412760
9678138070
10296097264
11142159291
12831b4700
13494625a8
142b479248
151aedc7c9
hex11a615f0

296097264 has 60 divisors (see below), whose sum is σ = 840361392. Its totient is φ = 97305600.

The previous prime is 296097247. The next prime is 296097281. The reversal of 296097264 is 462790692.

It is an interprime number because it is at equal distance from previous prime (296097247) and next prime (296097281).

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 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 24704.

Almost surely, 2296097264 is an apocalyptic number.

296097264 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 296097264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420180696).

296097264 is an abundant number, since it is smaller than the sum of its proper divisors (544264128).

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

296097264 is a wasteful number, since it uses less digits than its factorization.

296097264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29046 (or 29037 counting only the distinct ones).

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

The square root of 296097264 is about 17207.4769794993. The cubic root of 296097264 is about 666.5173590078.

The spelling of 296097264 in words is "two hundred ninety-six million, ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 28961 57922 86883 115844 173766 231688 260649 347532 463376 521298 695064 1042596 1390128 2056231 2085192 4112462 4170384 6168693 8224924 12337386 16449848 18506079 24674772 32899696 37012158 49349544 74024316 98699088 148048632 296097264