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404623431 = 3961337
BaseRepresentation
bin11000000111100…
…001000001000111
31001012101000000000
4120013201001013
51312040422211
6104052252343
713012146102
oct3007410107
91035330000
10404623431
11198443633
12b36110b3
1365a9cb64
143ba49739
15257c8656
hex181e1047

404623431 has 40 divisors (see below), whose sum is σ = 618704944. Its totient is φ = 264539520.

The previous prime is 404623403. The next prime is 404623433. The reversal of 404623431 is 134326404.

404623431 is a `hidden beast` number, since 4 + 0 + 4 + 623 + 4 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-404623431 is a prime.

It is a super-2 number, since 2×4046234312 = 327440241828423522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404623395 and 404623404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404623433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1200495 + ... + 1200831.

Almost surely, 2404623431 is an apocalyptic number.

404623431 is a deficient number, since it is larger than the sum of its proper divisors (214081513).

404623431 is an frugal number, since it uses more digits than its factorization.

404623431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

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

The square root of 404623431 is about 20115.2536896754. The cubic root of 404623431 is about 739.6342427934.

Adding to 404623431 its reverse (134326404), we get a palindrome (538949835).

The spelling of 404623431 in words is "four hundred four million, six hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 61 81 183 243 337 549 729 1011 1647 2187 3033 4941 6561 9099 14823 19683 20557 27297 44469 61671 81891 133407 185013 245673 400221 555039 737019 1200663 1665117 2211057 4995351 6633171 14986053 44958159 134874477 404623431