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3112431 = 37231683
BaseRepresentation
bin1011110111110111101111
312212010110020
423313313233
51244044211
6150413223
735312100
oct13676757
95763406
103112431
111836463
121061213
1384c89a
145b03a7
15417306
hex2f7def

3112431 has 24 divisors (see below), whose sum is σ = 4990464. Its totient is φ = 1718640.

The previous prime is 3112423. The next prime is 3112441. The reversal of 3112431 is 1342113.

It is not a de Polignac number, because 3112431 - 23 = 3112423 is a prime.

It is a super-3 number, since 3×31124313 = 90452474333210276973, which contains 333 as substring. Note that it is a super-d number also for d = 2.

3112431 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3112431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112441) 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, 4216 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (207936).

Almost surely, 23112431 is an apocalyptic number.

3112431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3112431 is a deficient number, since it is larger than the sum of its proper divisors (1878033).

3112431 is a wasteful number, since it uses less digits than its factorization.

3112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 3112431 is about 1764.2083210324. The cubic root of 3112431 is about 146.0046129774.

Adding to 3112431 its reverse (1342113), we get a palindrome (4454544).

The spelling of 3112431 in words is "three million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 683 1519 2049 4557 4781 14343 21173 33467 63519 100401 148211 444633 1037477 3112431