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13000344 = 233777383
BaseRepresentation
bin110001100101…
…111010011000
3220110111010020
4301211322120
511312002334
61142350440
7215333610
oct61457230
926414106
1013000344
11737a395
12442b420
132902416
141a25a40
15121be49
hexc65e98

13000344 has 32 divisors (see below), whose sum is σ = 37144320. Its totient is φ = 3714336.

The previous prime is 13000333. The next prime is 13000349. The reversal of 13000344 is 44300031.

13000344 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13000344 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38524 + ... + 38859.

It is an arithmetic number, because the mean of its divisors is an integer number (1160760).

Almost surely, 213000344 is an apocalyptic number.

13000344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13000344 is an abundant number, since it is smaller than the sum of its proper divisors (24143976).

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

13000344 is a wasteful number, since it uses less digits than its factorization.

13000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77399 (or 77395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13000344 is about 3605.5989793653. The cubic root of 13000344 is about 235.1355427516.

Adding to 13000344 its reverse (44300031), we get a palindrome (57300375).

The spelling of 13000344 in words is "thirteen million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 77383 154766 232149 309532 464298 541681 619064 928596 1083362 1625043 1857192 2166724 3250086 4333448 6500172 13000344