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67004064 = 253377551
BaseRepresentation
bin1111111110011…
…0011010100000
311200002011022000
43333212122200
5114123112224
610352044000
71442345061
oct377463240
9150064260
1067004064
1134905166
121a533600
1310b5cc9a
148c82568
155d380c9
hex3fe66a0

67004064 has 48 divisors (see below), whose sum is σ = 195431040. Its totient is φ = 22334400.

The previous prime is 67004059. The next prime is 67004081. The reversal of 67004064 is 46040076.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37912 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (4071480).

Almost surely, 267004064 is an apocalyptic number.

It is an amenable number.

67004064 is an abundant number, since it is smaller than the sum of its proper divisors (128426976).

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

67004064 is a wasteful number, since it uses less digits than its factorization.

67004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77570 (or 77556 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67004064 is about 8185.6010164190. The cubic root of 67004064 is about 406.1630218842.

The spelling of 67004064 in words is "sixty-seven million, four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 77551 155102 232653 310204 465306 620408 697959 930612 1240816 1395918 1861224 2093877 2481632 2791836 3722448 4187754 5583672 7444896 8375508 11167344 16751016 22334688 33502032 67004064