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400406004 = 22341235821
BaseRepresentation
bin10111110111011…
…011010111110100
31000220102201210000
4113313123113310
51310000443004
6103422031300
712631252305
oct2767332764
91026381700
10400406004
11196022a59
12b2118530
1364c5433b
143b26c7ac
1525243c39
hex17ddb5f4

400406004 has 30 divisors (see below), whose sum is σ = 1046741234. Its totient is φ = 133468560.

The previous prime is 400405997. The next prime is 400406029. The reversal of 400406004 is 400604004.

It can be written as a sum of positive squares in only one way, i.e., 399200400 + 1205604 = 19980^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617587 + ... + 618234.

Almost surely, 2400406004 is an apocalyptic number.

It is an amenable number.

400406004 is an abundant number, since it is smaller than the sum of its proper divisors (646335230).

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

400406004 is a wasteful number, since it uses less digits than its factorization.

400406004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235837 (or 1235826 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400406004 is about 20010.1475256931. The cubic root of 400406004 is about 737.0555040196.

The spelling of 400406004 in words is "four hundred million, four hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1235821 2471642 3707463 4943284 7414926 11122389 14829852 22244778 33367167 44489556 66734334 100101501 133468668 200203002 400406004