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64343664 = 24327211829
BaseRepresentation
bin1111010101110…
…0111001110000
311111001222220200
43311130321300
5112432444124
610215035200
71410624600
oct365347160
9144058820
1064343664
1133358390
121966bb00
131043b098
14878cc00
1559aebc9
hex3d5ce70

64343664 has 180 divisors, whose sum is σ = 228791160. Its totient is φ = 16692480.

The previous prime is 64343647. The next prime is 64343677. The reversal of 64343664 is 46634346.

64343664 is a `hidden beast` number, since 643 + 4 + 3 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77202 + ... + 78030.

It is an arithmetic number, because the mean of its divisors is an integer number (1271062).

Almost surely, 264343664 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 64343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114395580).

64343664 is an abundant number, since it is smaller than the sum of its proper divisors (164447496).

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

64343664 is a wasteful number, since it uses less digits than its factorization.

64343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 64343664 is about 8021.4502429424. The cubic root of 64343664 is about 400.7146889554.

The spelling of 64343664 in words is "sixty-four million, three hundred forty-three thousand, six hundred sixty-four".