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31344664 = 2313417351
BaseRepresentation
bin111011110010…
…0100000011000
32011222110210111
41313210200120
531011012124
63035454104
7530265601
oct167444030
964873714
1031344664
111676978a
12a5b7334
136656050
14423cda8
152b42494
hex1de4818

31344664 has 32 divisors (see below), whose sum is σ = 64844640. Its totient is φ = 14112000.

The previous prime is 31344631. The next prime is 31344671. The reversal of 31344664 is 46644313.

31344664 = T40 + T41 + ... + T572.

It is a happy number.

It is a super-2 number, since 2×313446642 = 1964975922545792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 589 + ... + 7939.

It is an arithmetic number, because the mean of its divisors is an integer number (2026395).

Almost surely, 231344664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32422320).

31344664 is an abundant number, since it is smaller than the sum of its proper divisors (33499976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31344664 is a wasteful number, since it uses less digits than its factorization.

31344664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7407 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 31344664 is about 5598.6305468391. The cubic root of 31344664 is about 315.2979929713.

Adding to 31344664 its reverse (46644313), we get a palindrome (77988977).

The spelling of 31344664 in words is "thirty-one million, three hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 7351 14702 29404 58808 95563 191126 301391 382252 602782 764504 1205564 2411128 3918083 7836166 15672332 31344664