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296082864 = 24357112343
BaseRepresentation
bin10001101001011…
…101110110110000
3202122010120100000
4101221131312300
51101244122424
645214030000
710223443230
oct2151356660
9678116300
10296082864
11142149490
12831a8300
1349458b7c
142b473cc0
151aed83c9
hex11a5ddb0

296082864 has 480 divisors, whose sum is σ = 1143926784. Its totient is φ = 71850240.

The previous prime is 296082859. The next prime is 296082869. The reversal of 296082864 is 468280692.

It is an interprime number because it is at equal distance from previous prime (296082859) and next prime (296082869).

It is not an unprimeable number, because it can be changed into a prime (296082869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6885627 + ... + 6885669.

Almost surely, 2296082864 is an apocalyptic number.

296082864 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 296082864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

296082864 is an abundant number, since it is smaller than the sum of its proper divisors (847843920).

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

296082864 is a wasteful number, since it uses less digits than its factorization.

296082864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 296082864 is about 17207.0585516526. The cubic root of 296082864 is about 666.5065539934.

The spelling of 296082864 in words is "two hundred ninety-six million, eighty-two thousand, eight hundred sixty-four".