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13000349 is a prime number
BaseRepresentation
bin110001100101…
…111010011101
3220110111010102
4301211322131
511312002344
61142350445
7215333615
oct61457235
926414112
1013000349
11737a39a
12442b425
13290241b
141a25a45
15121be4e
hexc65e9d

13000349 has 2 divisors, whose sum is σ = 13000350. Its totient is φ = 13000348.

The previous prime is 13000333. The next prime is 13000367. The reversal of 13000349 is 94300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12652249 + 348100 = 3557^2 + 590^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000349 - 24 = 13000333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13000349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500174 + 6500175.

It is an arithmetic number, because the mean of its divisors is an integer number (6500175).

Almost surely, 213000349 is an apocalyptic number.

It is an amenable number.

13000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000349 is an equidigital number, since it uses as much as digits as its factorization.

13000349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 13000349 is about 3605.5996727313. The cubic root of 13000349 is about 235.1355728963.

The spelling of 13000349 in words is "thirteen million, three hundred forty-nine", and thus it is an aban number.