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400331631 = 37295379157
BaseRepresentation
bin10111110111001…
…001001101101111
31000220021221202110
4113313021031233
51304441103011
6103420255103
712630522420
oct2767111557
91026257673
10400331631
11195a82097
12b20a1493
1364c2952b
143b24d647
152522bba6
hex17dc936f

400331631 has 64 divisors (see below), whose sum is σ = 655257600. Its totient is φ = 212599296.

The previous prime is 400331621. The next prime is 400331669. The reversal of 400331631 is 136133004.

It is not a de Polignac number, because 400331631 - 25 = 400331599 is a prime.

It is a super-2 number, since 2×4003316312 = 320530829558240322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 400331598 and 400331607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400331611) 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 63 ways as a sum of consecutive naturals, for example, 2549805 + ... + 2549961.

It is an arithmetic number, because the mean of its divisors is an integer number (10238400).

Almost surely, 2400331631 is an apocalyptic number.

400331631 is a deficient number, since it is larger than the sum of its proper divisors (254925969).

400331631 is a wasteful number, since it uses less digits than its factorization.

400331631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 400331631 is about 20008.2890572882. The cubic root of 400331631 is about 737.0098666558.

Adding to 400331631 its reverse (136133004), we get a palindrome (536464635).

The spelling of 400331631 in words is "four hundred million, three hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 3 7 21 29 53 79 87 157 159 203 237 371 471 553 609 1099 1113 1537 1659 2291 3297 4187 4553 4611 6873 8321 10759 12403 12561 13659 16037 24963 29309 31871 32277 37209 48111 58247 86821 87927 95613 121423 174741 241309 260463 359687 364269 657359 723927 849961 1079061 1689163 1972077 2517809 2549883 4601513 5067489 7553427 13804539 19063411 57190233 133443877 400331631