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671315904 = 263371923127
BaseRepresentation
bin101000000000110…
…111011111000000
31201210012101022000
4220000313133000
52333324102104
6150340344000
722431043140
oct5000673700
91653171260
10671315904
11314a38636
121689a5000
13a910835c
146522c920
153de08639
hex280377c0

671315904 has 448 divisors, whose sum is σ = 2496921600. Its totient is φ = 172440576.

The previous prime is 671315893. The next prime is 671315917. The reversal of 671315904 is 409513176.

671315904 is a `hidden beast` number, since 67 + 1 + 3 + 1 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5285889 + ... + 5286015.

Almost surely, 2671315904 is an apocalyptic number.

671315904 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 671315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248460800).

671315904 is an abundant number, since it is smaller than the sum of its proper divisors (1825605696).

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

671315904 is a wasteful number, since it uses less digits than its factorization.

671315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 671315904 is about 25909.7646457856. The cubic root of 671315904 is about 875.6065036971.

The spelling of 671315904 in words is "six hundred seventy-one million, three hundred fifteen thousand, nine hundred four".