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13769344 = 27971109
BaseRepresentation
bin110100100001…
…101010000000
3221220112222201
4310201222000
512011104334
61211042544
7225015601
oct64415200
927815881
1013769344
117855126
124740454
132b11454
141b85da8
15131ec14
hexd21a80

13769344 has 32 divisors (see below), whose sum is σ = 27738900. Its totient is φ = 6807552.

The previous prime is 13769339. The next prime is 13769351. The reversal of 13769344 is 44396731.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 1658944 = 3480^2 + 1288^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11862 + ... + 12970.

Almost surely, 213769344 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 13769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869450).

13769344 is an abundant number, since it is smaller than the sum of its proper divisors (13969556).

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

13769344 is an equidigital number, since it uses as much as digits as its factorization.

13769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1208 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 13769344 is about 3710.7066712420. The cubic root of 13769344 is about 239.6832859384.

The spelling of 13769344 in words is "thirteen million, seven hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1109 1552 2218 3104 4436 6208 8872 12416 17744 35488 70976 107573 141952 215146 430292 860584 1721168 3442336 6884672 13769344