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67080384 = 26327127131
BaseRepresentation
bin1111111111100…
…1000011000000
311200020000222200
43333321003000
5114133033014
610353433200
71443113430
oct377710300
9150200880
1067080384
1134957538
121a56b800
1310b88947
148ca22c0
155d50a09
hex3ff90c0

67080384 has 168 divisors, whose sum is σ = 223162368. Its totient is φ = 18869760.

The previous prime is 67080367. The next prime is 67080413. The reversal of 67080384 is 48308076.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511999 + ... + 512129.

Almost surely, 267080384 is an apocalyptic number.

67080384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111581184).

67080384 is an abundant number, since it is smaller than the sum of its proper divisors (156081984).

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

67080384 is a wasteful number, since it uses less digits than its factorization.

67080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67080384 is about 8190.2615342857. The cubic root of 67080384 is about 406.3171747222.

The spelling of 67080384 in words is "sixty-seven million, eighty thousand, three hundred eighty-four".