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400084668 = 223214974587
BaseRepresentation
bin10111110110001…
…100111010111100
31000212211101222200
4113312030322330
51304410202133
6103411111500
712625443414
oct2766147274
91025741880
10400084668
11195923595
12b1ba2590
1364b70cb9
143b1c7644
15251cd913
hex17d8cebc

400084668 has 36 divisors (see below), whose sum is σ = 1018126200. Its totient is φ = 132464736.

The previous prime is 400084661. The next prime is 400084669. The reversal of 400084668 is 866480004.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400084661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31930 + ... + 42657.

Almost surely, 2400084668 is an apocalyptic number.

It is an amenable number.

400084668 is an abundant number, since it is smaller than the sum of its proper divisors (618041532).

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

400084668 is a wasteful number, since it uses less digits than its factorization.

400084668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74746 (or 74741 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 400084668 is about 20002.1165880014. The cubic root of 400084668 is about 736.8582826570.

The spelling of 400084668 in words is "four hundred million, eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 74587 149174 223761 298348 447522 671283 895044 1342566 2685132 11113463 22226926 33340389 44453852 66680778 100021167 133361556 200042334 400084668