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64217344 = 28534733
BaseRepresentation
bin1111010011111…
…0000100000000
311110211120122011
43310332010000
5112414423334
610212222304
71406560402
oct364760400
9143746564
1064217344
1133281494
121960a994
13103c5739
148758b72
155987564
hex3d3e100

64217344 has 36 divisors (see below), whose sum is σ = 130629996. Its totient is φ = 31496192.

The previous prime is 64217341. The next prime is 64217353. The reversal of 64217344 is 44371246.

It can be written as a sum of positive squares in 2 ways, for example, as 28217344 + 36000000 = 5312^2 + 6000^2 .

It is not an unprimeable number, because it can be changed into a prime (64217341) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11202 + ... + 15934.

It is an arithmetic number, because the mean of its divisors is an integer number (3628611).

Almost surely, 264217344 is an apocalyptic number.

64217344 is a gapful number since it is divisible by the number (64) 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 64217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65314998).

64217344 is an abundant number, since it is smaller than the sum of its proper divisors (66412652).

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

64217344 is an equidigital number, since it uses as much as digits as its factorization.

64217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4788 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 64217344 is about 8013.5724867253. The cubic root of 64217344 is about 400.4522883953.

The spelling of 64217344 in words is "sixty-four million, two hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4733 6784 9466 13568 18932 37864 75728 151456 250849 302912 501698 605824 1003396 1211648 2006792 4013584 8027168 16054336 32108672 64217344