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64331296 = 254149033
BaseRepresentation
bin1111010101100…
…1111000100000
311111001100221121
43311121320200
5112432100141
610214502024
71410543541
oct365317040
9144040847
1064331296
113334a067
1219664914
1310435573
1487884c8
1559ab1d1
hex3d59e20

64331296 has 24 divisors (see below), whose sum is σ = 129743964. Its totient is φ = 31380480.

The previous prime is 64331291. The next prime is 64331303. The reversal of 64331296 is 69213346.

It is a happy number.

64331296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 11971600 = 7236^2 + 3460^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64331291) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23205 + ... + 25828.

Almost surely, 264331296 is an apocalyptic number.

It is an amenable number.

64331296 is an abundant number, since it is smaller than the sum of its proper divisors (65412668).

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

64331296 is a wasteful number, since it uses less digits than its factorization.

64331296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49084 (or 49076 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 64331296 is about 8020.6792729793. The cubic root of 64331296 is about 400.6890124731.

The spelling of 64331296 in words is "sixty-four million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 49033 98066 196132 392264 784528 1569056 2010353 4020706 8041412 16082824 32165648 64331296