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64340096 = 272917333
BaseRepresentation
bin1111010101110…
…0000010000000
311111001211000112
43311130002000
5112432340341
610215010452
71410611312
oct365340200
9144054015
1064340096
1133355737
1219669a28
1310439582
14878b7b2
1559adaeb
hex3d5c080

64340096 has 32 divisors (see below), whose sum is σ = 132605100. Its totient is φ = 31058944.

The previous prime is 64340093. The next prime is 64340113. The reversal of 64340096 is 69004346.

It can be written as a sum of positive squares in 2 ways, for example, as 59845696 + 4494400 = 7736^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (64340093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4955 + ... + 12378.

Almost surely, 264340096 is an apocalyptic number.

It is an amenable number.

64340096 is an abundant number, since it is smaller than the sum of its proper divisors (68265004).

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

64340096 is a wasteful number, since it uses less digits than its factorization.

64340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17376 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 64340096 is about 8021.2278361857. The cubic root of 64340096 is about 400.7072819767.

The spelling of 64340096 in words is "sixty-four million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 17333 34666 69332 138664 277328 502657 554656 1005314 1109312 2010628 2218624 4021256 8042512 16085024 32170048 64340096