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31443664 = 247436529
BaseRepresentation
bin111011111110…
…0101011010000
32012011111121011
41313330223100
531022144124
63041540304
7531160330
oct167745320
965144534
1031443664
11168270aa
12a644694
13668c125
1442670c0
152b61994
hex1dfcad0

31443664 has 40 divisors (see below), whose sum is σ = 71255360. Its totient is φ = 13160448.

The previous prime is 31443661. The next prime is 31443721. The reversal of 31443664 is 46634413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31443661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 8080.

It is an arithmetic number, because the mean of its divisors is an integer number (1781384).

Almost surely, 231443664 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 31443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627680).

31443664 is an abundant number, since it is smaller than the sum of its proper divisors (39811696).

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

31443664 is a wasteful number, since it uses less digits than its factorization.

31443664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6581 counting only the distinct ones).

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

The square root of 31443664 is about 5607.4650244117. The cubic root of 31443664 is about 315.6295932279.

The spelling of 31443664 in words is "thirty-one million, four hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 6529 13058 26116 45703 52232 91406 104464 182812 280747 365624 561494 731248 1122988 1965229 2245976 3930458 4491952 7860916 15721832 31443664