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64344192 = 2731115233
BaseRepresentation
bin1111010101110…
…1000010000000
311111002000122020
43311131002000
5112433003232
610215041440
71410626253
oct365350200
9144060566
1064344192
1133358820
1219670280
131043b3b3
14878d09a
1559aee2c
hex3d5d080

64344192 has 64 divisors (see below), whose sum is σ = 186464160. Its totient is φ = 19496960.

The previous prime is 64344151. The next prime is 64344307. The reversal of 64344192 is 29144346.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3393 + ... + 11840.

Almost surely, 264344192 is an apocalyptic number.

It is an amenable number.

64344192 is an abundant number, since it is smaller than the sum of its proper divisors (122119968).

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

64344192 is a wasteful number, since it uses less digits than its factorization.

64344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15261 (or 15249 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 64344192 is about 8021.4831546292. The cubic root of 64344192 is about 400.7157850321.

The spelling of 64344192 in words is "sixty-four million, three hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 15233 30466 45699 60932 91398 121864 167563 182796 243728 335126 365592 487456 502689 670252 731184 974912 1005378 1340504 1462368 1949824 2010756 2681008 2924736 4021512 5362016 5849472 8043024 10724032 16086048 21448064 32172096 64344192