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31305344 = 27734939
BaseRepresentation
bin111011101101…
…0111010000000
32011220110212012
41313122322000
531003232334
63034552052
7530043140
oct167327200
964813765
1031305344
1116742194
12a598628
136641195
14422c920
152b359ce
hex1ddae80

31305344 has 32 divisors (see below), whose sum is σ = 71277600. Its totient is φ = 13416192.

The previous prime is 31305301. The next prime is 31305349. The reversal of 31305344 is 44350313.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (31305349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16574 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (2227425).

Almost surely, 231305344 is an apocalyptic number.

It is an amenable number.

31305344 is an abundant number, since it is smaller than the sum of its proper divisors (39972256).

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

31305344 is an equidigital number, since it uses as much as digits as its factorization.

31305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34960 (or 34948 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 31305344 is about 5595.1178718594. The cubic root of 31305344 is about 315.1660970003.

Adding to 31305344 its reverse (44350313), we get a palindrome (75655657).

The spelling of 31305344 in words is "thirty-one million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 34939 69878 139756 244573 279512 489146 559024 978292 1118048 1956584 2236096 3913168 4472192 7826336 15652672 31305344