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13034368 = 27791289
BaseRepresentation
bin110001101110…
…001110000000
3220112012210101
4301232032000
511314044433
61143212144
7215535034
oct61561600
926465711
1013034368
1173a2a06
124447054
132914a59
141a341c4
15122707d
hexc6e380

13034368 has 32 divisors (see below), whose sum is σ = 26316000. Its totient is φ = 6429696.

The previous prime is 13034363. The next prime is 13034387. The reversal of 13034368 is 86343031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9468 + ... + 10756.

It is an arithmetic number, because the mean of its divisors is an integer number (822375).

Almost surely, 213034368 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 13034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158000).

13034368 is an abundant number, since it is smaller than the sum of its proper divisors (13281632).

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

13034368 is an equidigital number, since it uses as much as digits as its factorization.

13034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13034368 is about 3610.3141137580. The cubic root of 13034368 is about 235.3404932903.

Adding to 13034368 its reverse (86343031), we get a palindrome (99377399).

It can be divided in two parts, 1303 and 4368, that added together give a triangular number (5671 = T106).

The spelling of 13034368 in words is "thirteen million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 1289 2528 2578 5056 5156 10112 10312 20624 41248 82496 101831 164992 203662 407324 814648 1629296 3258592 6517184 13034368