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67043664 = 2432465581
BaseRepresentation
bin1111111111000…
…0000101010000
311200011011121200
43333300011100
5114130344124
610352551200
71442601402
oct377600520
9150134550
1067043664
1134931996
121a552500
1310b7500c
148c92b72
155d44bc9
hex3ff0150

67043664 has 30 divisors (see below), whose sum is σ = 187629546. Its totient is φ = 22347840.

The previous prime is 67043663. The next prime is 67043671. The reversal of 67043664 is 46634076.

67043664 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 only one way, i.e., 50979600 + 16064064 = 7140^2 + 4008^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67043663) 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 5 ways as a sum of consecutive naturals, for example, 232647 + ... + 232934.

Almost surely, 267043664 is an apocalyptic number.

It is an amenable number.

67043664 is an abundant number, since it is smaller than the sum of its proper divisors (120585882).

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

67043664 is a wasteful number, since it uses less digits than its factorization.

67043664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465595 (or 465586 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 67043664 is about 8188.0195407681. The cubic root of 67043664 is about 406.2430214501.

The spelling of 67043664 in words is "sixty-seven million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 465581 931162 1396743 1862324 2793486 3724648 4190229 5586972 7449296 8380458 11173944 16760916 22347888 33521832 67043664