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1349609057 = 13795310337
BaseRepresentation
bin101000001110001…
…0110011001100001
310111001112020120122
41100130112121201
510230444442212
6341530450025
745305326166
oct12034263141
93431466518
101349609057
11632901295
12317b93915
131867b7454
14cb35606d
157d73e272
hex50716661

1349609057 has 8 divisors (see below), whose sum is σ = 1361018376. Its totient is φ = 1338222592.

The previous prime is 1349609033. The next prime is 1349609081. The reversal of 1349609057 is 7509069431.

It is an interprime number because it is at equal distance from previous prime (1349609033) and next prime (1349609081).

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 1334367841 = 3904^2 + 36529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1349609057 - 218 = 1349346913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1349608999 and 1349609017.

It is not an unprimeable number, because it can be changed into a prime (1349609017) 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 in 7 ways as a sum of consecutive naturals, for example, 125393 + ... + 135729.

It is an arithmetic number, because the mean of its divisors is an integer number (170127297).

Almost surely, 21349609057 is an apocalyptic number.

It is an amenable number.

1349609057 is a deficient number, since it is larger than the sum of its proper divisors (11409319).

1349609057 is a wasteful number, since it uses less digits than its factorization.

1349609057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 1349609057 is about 36737.0256961556. The cubic root of 1349609057 is about 1105.1027543792.

The spelling of 1349609057 in words is "one billion, three hundred forty-nine million, six hundred nine thousand, fifty-seven".

Divisors: 1 137 953 10337 130561 1416169 9851161 1349609057