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31326864 = 2433137569
BaseRepresentation
bin111011110000…
…0001010010000
32011221120101020
41313200022100
531004424424
63035235440
7530162652
oct167401220
964846336
1031326864
1116757378
12a5a8b80
13664ac0a
1442366d2
152b3c079
hex1de0290

31326864 has 80 divisors (see below), whose sum is σ = 85946880. Its totient is φ = 9815040.

The previous prime is 31326859. The next prime is 31326881. The reversal of 31326864 is 46862313.

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

Its product of digits (20736) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54772 + ... + 55340.

It is an arithmetic number, because the mean of its divisors is an integer number (1074336).

Almost surely, 231326864 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 31326864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973440).

31326864 is an abundant number, since it is smaller than the sum of its proper divisors (54620016).

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

31326864 is a wasteful number, since it uses less digits than its factorization.

31326864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 31326864 is about 5597.0406466275. The cubic root of 31326864 is about 315.2382978880.

The spelling of 31326864 in words is "thirty-one million, three hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 569 592 744 888 1138 1147 1488 1707 1776 2276 2294 3414 3441 4552 4588 6828 6882 9104 9176 13656 13764 17639 18352 21053 27312 27528 35278 42106 52917 55056 63159 70556 84212 105834 126318 141112 168424 211668 252636 282224 336848 423336 505272 652643 846672 1010544 1305286 1957929 2610572 3915858 5221144 7831716 10442288 15663432 31326864