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13729349 is a prime number
BaseRepresentation
bin110100010111…
…111001000101
3221211112010102
4310113321011
512003314344
61210133445
7224461154
oct64277105
927745112
1013729349
117828077
124721285
132ac919a
141b7559b
151312e4e
hexd17e45

13729349 has 2 divisors, whose sum is σ = 13729350. Its totient is φ = 13729348.

The previous prime is 13729337. The next prime is 13729357. The reversal of 13729349 is 94392731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13557124 + 172225 = 3682^2 + 415^2 .

It is a cyclic number.

It is not a de Polignac number, because 13729349 - 216 = 13663813 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13729369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864674 + 6864675.

It is an arithmetic number, because the mean of its divisors is an integer number (6864675).

Almost surely, 213729349 is an apocalyptic number.

It is an amenable number.

13729349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13729349 is an equidigital number, since it uses as much as digits as its factorization.

13729349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 38.

The square root of 13729349 is about 3705.3136169561. The cubic root of 13729349 is about 239.4509962604.

The spelling of 13729349 in words is "thirteen million, seven hundred twenty-nine thousand, three hundred forty-nine".