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13881344 = 2123389
BaseRepresentation
bin110100111101…
…000000000000
3222010020121212
4310331000000
512023200334
61213305252
7225663251
oct64750000
928106555
1013881344
117921294
124795228
132b50419
141bb4b28
151342ece
hexd3d000

13881344 has 26 divisors (see below), whose sum is σ = 27767490. Its totient is φ = 6938624.

The previous prime is 13881337. The next prime is 13881377. The reversal of 13881344 is 44318831.

It can be written as a sum of positive squares in only one way, i.e., 13778944 + 102400 = 3712^2 + 320^2 .

It is a super-2 number, since 2×138813442 = 385383422492672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13881344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2402 + ... + 5790.

Almost surely, 213881344 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 13881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883745).

13881344 is an abundant number, since it is smaller than the sum of its proper divisors (13886146).

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

13881344 is an frugal number, since it uses more digits than its factorization.

13881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3391 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 13881344 is about 3725.7675719239. The cubic root of 13881344 is about 240.3313940495.

The spelling of 13881344 in words is "thirteen million, eight hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3389 4096 6778 13556 27112 54224 108448 216896 433792 867584 1735168 3470336 6940672 13881344