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400213431 = 32104942391
BaseRepresentation
bin10111110110101…
…100010110110111
31000220001221121200
4113312230112313
51304423312211
6103413543543
712626521002
oct2766542667
91026057550
10400213431
11195a01302
12b2044bb3
1364bb77a7
143b21c539
1525206b56
hex17dac5b7

400213431 has 12 divisors (see below), whose sum is σ = 578650800. Its totient is φ = 266548320.

The previous prime is 400213403. The next prime is 400213481. The reversal of 400213431 is 134312004.

It is not a de Polignac number, because 400213431 - 25 = 400213399 is a prime.

It is a super-2 number, since 2×4002134312 = 320341580705583522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400213481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11755 + ... + 30636.

It is an arithmetic number, because the mean of its divisors is an integer number (48220900).

Almost surely, 2400213431 is an apocalyptic number.

400213431 is a deficient number, since it is larger than the sum of its proper divisors (178437369).

400213431 is a wasteful number, since it uses less digits than its factorization.

400213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43446 (or 43443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400213431 is about 20005.3350634275. The cubic root of 400213431 is about 736.9373241814.

Adding to 400213431 its reverse (134312004), we get a palindrome (534525435).

The spelling of 400213431 in words is "four hundred million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 1049 3147 9441 42391 127173 381519 44468159 133404477 400213431