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231634431 = 3371225579
BaseRepresentation
bin11011100111001…
…11010111111111
3121010212020201000
431303213113333
5433244300211
634552421343
75511601020
oct1563472777
9533766630
10231634431
1110982a416
12656a7853
1338cb21c2
1422a98c47
1515507656
hexdce75ff

231634431 has 16 divisors (see below), whose sum is σ = 392185600. Its totient is φ = 132362424.

The previous prime is 231634427. The next prime is 231634439. The reversal of 231634431 is 134436132.

231634431 is a `hidden beast` number, since 2 + 316 + 344 + 3 + 1 = 666.

It is not a de Polignac number, because 231634431 - 22 = 231634427 is a prime.

It is a super-2 number, since 2×2316344312 = 107309019249387522, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231634395 and 231634404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231634439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612601 + ... + 612978.

It is an arithmetic number, because the mean of its divisors is an integer number (24511600).

Almost surely, 2231634431 is an apocalyptic number.

231634431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231634431 is a deficient number, since it is larger than the sum of its proper divisors (160551169).

231634431 is a wasteful number, since it uses less digits than its factorization.

231634431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225595 (or 1225589 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 231634431 is about 15219.5410903220. The cubic root of 231634431 is about 614.1404530022.

The spelling of 231634431 in words is "two hundred thirty-one million, six hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1225579 3676737 8579053 11030211 25737159 33090633 77211477 231634431