Search a number
-
+
31342944 = 2531632003
BaseRepresentation
bin111011110010…
…0000101100000
32011222101102210
41313210011200
531010433234
63035442120
7530260563
oct167440540
964871383
1031342944
1116768466
12a5b6340
136655329
14423c4da
152b41be9
hex1de4160

31342944 has 48 divisors (see below), whose sum is σ = 82821312. Its totient is φ = 10378368.

The previous prime is 31342943. The next prime is 31342957. The reversal of 31342944 is 44924313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31342943) 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 7 ways as a sum of consecutive naturals, for example, 14647 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (1725444).

Almost surely, 231342944 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 31342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41410656).

31342944 is an abundant number, since it is smaller than the sum of its proper divisors (51478368).

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

31342944 is a wasteful number, since it uses less digits than its factorization.

31342944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 31342944 is about 5598.4769357389. The cubic root of 31342944 is about 315.2922256688.

The spelling of 31342944 in words is "thirty-one million, three hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2003 2608 3912 4006 5216 6009 7824 8012 12018 15648 16024 24036 32048 48072 64096 96144 192288 326489 652978 979467 1305956 1958934 2611912 3917868 5223824 7835736 10447648 15671472 31342944