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400444431 = 3199766841
BaseRepresentation
bin10111110111100…
…100110000001111
31000220111200111020
4113313210300033
51310003210211
6103422525223
712631502322
oct2767446017
91026450436
10400444431
11196049912
12b2136813
1364c6898a
143b27c7b9
1525250306
hex17de4c0f

400444431 has 8 divisors (see below), whose sum is σ = 534201264. Its totient is φ = 266825280.

The previous prime is 400444411. The next prime is 400444433. The reversal of 400444431 is 134444004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-400444431 is a prime.

It is a super-2 number, since 2×4004444312 = 320711484637827522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400444433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27430 + ... + 39411.

It is an arithmetic number, because the mean of its divisors is an integer number (66775158).

Almost surely, 2400444431 is an apocalyptic number.

400444431 is a deficient number, since it is larger than the sum of its proper divisors (133756833).

400444431 is a wasteful number, since it uses less digits than its factorization.

400444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68841.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 400444431 is about 20011.1076904803. The cubic root of 400444431 is about 737.0790816929.

Adding to 400444431 its reverse (134444004), we get a palindrome (534888435).

The spelling of 400444431 in words is "four hundred million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 1997 5991 66841 200523 133481477 400444431