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31326144 = 263241677
BaseRepresentation
bin111011101111…
…1111111000000
32011221112101120
41313133333000
531004414034
63035232240
7530160603
oct167377700
964845346
1031326144
1116756883
12a5a8680
13664a7a5
14423633a
152b3bc49
hex1ddffc0

31326144 has 56 divisors (see below), whose sum is σ = 83350608. Its totient is φ = 10383360.

The previous prime is 31326133. The next prime is 31326149. The reversal of 31326144 is 44162313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31326149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45934 + ... + 46610.

Almost surely, 231326144 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 31326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41675304).

31326144 is an abundant number, since it is smaller than the sum of its proper divisors (52024464).

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

31326144 is a wasteful number, since it uses less digits than its factorization.

31326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 31326144 is about 5596.9763265535. The cubic root of 31326144 is about 315.2358827796.

Adding to 31326144 its reverse (44162313), we get a palindrome (75488457).

The spelling of 31326144 in words is "thirty-one million, three hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 677 723 964 1354 1446 1928 2031 2708 2892 3856 4062 5416 5784 7712 8124 10832 11568 15424 16248 21664 23136 32496 43328 46272 64992 129984 163157 326314 489471 652628 978942 1305256 1957884 2610512 3915768 5221024 7831536 10442048 15663072 31326144