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13741344 = 253247713
BaseRepresentation
bin110100011010…
…110100100000
3221212010120200
4310122310200
512004210334
61210305200
7224541141
oct64326440
927763520
1013741344
117836091
124728200
132b01796
141b79ac8
151316799
hexd1ad20

13741344 has 36 divisors (see below), whose sum is σ = 39077766. Its totient is φ = 4580352.

The previous prime is 13741337. The next prime is 13741349. The reversal of 13741344 is 44314731.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 345744 = 3660^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23569 + ... + 24144.

Almost surely, 213741344 is an apocalyptic number.

It is an amenable number.

13741344 is an abundant number, since it is smaller than the sum of its proper divisors (25336422).

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

13741344 is a wasteful number, since it uses less digits than its factorization.

13741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47729 (or 47718 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13741344 is about 3706.9318849960. The cubic root of 13741344 is about 239.5207101423.

The spelling of 13741344 in words is "thirteen million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47713 95426 143139 190852 286278 381704 429417 572556 763408 858834 1145112 1526816 1717668 2290224 3435336 4580448 6870672 13741344