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296368272 = 243215713109
BaseRepresentation
bin10001101010100…
…011100010010000
3202122200001211200
4101222203202100
51101332241042
645224111200
710226042304
oct2152434220
9678601750
10296368272
11142323962
1283305500
1349528a55
142b509d04
151b042c4c
hex11aa3890

296368272 has 60 divisors (see below), whose sum is σ = 834766140. Its totient is φ = 98152704.

The previous prime is 296368253. The next prime is 296368297. The reversal of 296368272 is 272863692.

296368272 is a `hidden beast` number, since 2 + 9 + 636 + 8 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 196448256 = 9996^2 + 14016^2 .

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 11 ways as a sum of consecutive naturals, for example, 16054 + ... + 29162.

It is an arithmetic number, because the mean of its divisors is an integer number (13912769).

Almost surely, 2296368272 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 296368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417383070).

296368272 is an abundant number, since it is smaller than the sum of its proper divisors (538397868).

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

296368272 is a wasteful number, since it uses less digits than its factorization.

296368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13271 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 296368272 is about 17215.3498947887. The cubic root of 296368272 is about 666.7206440740.

The spelling of 296368272 in words is "two hundred ninety-six million, three hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 13109 22608 26218 39327 52436 78654 104872 117981 157308 209744 235962 314616 471924 629232 943848 1887696 2058113 4116226 6174339 8232452 12348678 16464904 18523017 24697356 32929808 37046034 49394712 74092068 98789424 148184136 296368272