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2400431364 = 223266678649
BaseRepresentation
bin1000111100010011…
…1010110100000100
320012021211112210100
42033010322310010
514404002300424
61034105324100
7113325221112
oct21704726404
96167745710
102400431364
111021a87681
1256ba96630
132c340a0b6
1418ab32ab2
15e0b0ddc9
hex8f13ad04

2400431364 has 18 divisors (see below), whose sum is σ = 6067757150. Its totient is φ = 800143776.

The previous prime is 2400431359. The next prime is 2400431431. The reversal of 2400431364 is 4631340042.

It can be written as a sum of positive squares in only one way, i.e., 2261002500 + 139428864 = 47550^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33339289 + ... + 33339360.

Almost surely, 22400431364 is an apocalyptic number.

It is an amenable number.

2400431364 is an abundant number, since it is smaller than the sum of its proper divisors (3667325786).

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

2400431364 is a wasteful number, since it uses less digits than its factorization.

2400431364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66678659 (or 66678654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2400431364 is about 48994.1972482456. The cubic root of 2400431364 is about 1338.9461090466.

The spelling of 2400431364 in words is "two billion, four hundred million, four hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 66678649 133357298 200035947 266714596 400071894 600107841 800143788 1200215682 2400431364