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400420431 = 321710325409
BaseRepresentation
bin10111110111011…
…110111001001111
31000220110110120100
4113313132321033
51310001423211
6103422222143
712631342335
oct2767367117
91026413510
10400420431
11196032884
12b2124953
1364c5aa88
143b273b55
1525248156
hex17ddee4f

400420431 has 24 divisors (see below), whose sum is σ = 618377760. Its totient is φ = 248795136.

The previous prime is 400420417. The next prime is 400420439. The reversal of 400420431 is 134024004.

It is not a de Polignac number, because 400420431 - 25 = 400420399 is a prime.

It is a super-2 number, since 2×4004204312 = 320673043124451522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400420439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3055 + ... + 28463.

It is an arithmetic number, because the mean of its divisors is an integer number (25765740).

Almost surely, 2400420431 is an apocalyptic number.

400420431 is a deficient number, since it is larger than the sum of its proper divisors (217957329).

400420431 is a wasteful number, since it uses less digits than its factorization.

400420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25535 (or 25532 counting only the distinct ones).

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

The square root of 400420431 is about 20010.5080145408. The cubic root of 400420431 is about 737.0643561779.

Adding to 400420431 its reverse (134024004), we get a palindrome (534444435).

The spelling of 400420431 in words is "four hundred million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 103 153 309 927 1751 5253 15759 25409 76227 228681 431953 1295859 2617127 3887577 7851381 23554143 44491159 133473477 400420431