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13312044 = 22322941311
BaseRepresentation
bin110010110010…
…000000101100
3221001022200200
4302302000230
511401441134
61153153500
7221102424
oct62620054
927038620
1013312044
117572599
12455b890
1329b1265
141aa7484
15127e499
hexcb202c

13312044 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4166400.

The previous prime is 13312043. The next prime is 13312067. The reversal of 13312044 is 44021331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13312043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42649 + ... + 42959.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 213312044 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 13312044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

13312044 is an abundant number, since it is smaller than the sum of its proper divisors (22461876).

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

13312044 is a wasteful number, since it uses less digits than its factorization.

13312044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13312044 is about 3648.5673900861. The cubic root of 13312044 is about 236.9999465897. Note that the first 4 decimals are identical.

Adding to 13312044 its reverse (44021331), we get a palindrome (57333375).

It can be divided in two parts, 1331 and 2044, that added together give a cube (3375 = 153).

The spelling of 13312044 in words is "thirteen million, three hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 246 261 311 348 369 492 522 622 738 933 1044 1189 1244 1476 1866 2378 2799 3567 3732 4756 5598 7134 9019 10701 11196 12751 14268 18038 21402 25502 27057 36076 38253 42804 51004 54114 76506 81171 108228 114759 153012 162342 229518 324684 369779 459036 739558 1109337 1479116 2218674 3328011 4437348 6656022 13312044