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671904 = 25322333
BaseRepresentation
bin10100100000010100000
31021010200100
42210002200
5133000104
622222400
75465622
oct2440240
91233610
10671904
114198a2
12284a00
131a6a9c
14136c12
15d4139
hexa40a0

671904 has 36 divisors (see below), whose sum is σ = 1911546. Its totient is φ = 223872.

The previous prime is 671903. The next prime is 671911. The reversal of 671904 is 409176.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 63504 = 780^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (671903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 1454.

2671904 is an apocalyptic number.

It is an amenable number.

671904 is an abundant number, since it is smaller than the sum of its proper divisors (1239642).

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

671904 is a wasteful number, since it uses less digits than its factorization.

671904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 671904 is about 819.6975051810. The cubic root of 671904 is about 87.5862116285.

The spelling of 671904 in words is "six hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2333 4666 6999 9332 13998 18664 20997 27996 37328 41994 55992 74656 83988 111984 167976 223968 335952 671904