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1349164116 = 223237476781
BaseRepresentation
bin101000001101010…
…1001110001010100
310111000200122020100
41100122221301110
510230341222431
6341513134100
745301464036
oct12032516124
93430618210
101349164116
11632627a73
123179ba330
1318668ca81
14cb27bc56
157d6a24e6
hex506a9c54

1349164116 has 18 divisors (see below), whose sum is σ = 3410387162. Its totient is φ = 449721360.

The previous prime is 1349164067. The next prime is 1349164127. The reversal of 1349164116 is 6114619431.

1349164116 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 1 + 641 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1173336516 + 175827600 = 34254^2 + 13260^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13491641162 = 3640487623804122912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 37476781 = 1349164116 / (1 + 3 + 4 + 9 + 1 + 6 + 4 + 1 + 1 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18738355 + ... + 18738426.

Almost surely, 21349164116 is an apocalyptic number.

It is an amenable number.

1349164116 is an abundant number, since it is smaller than the sum of its proper divisors (2061223046).

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

1349164116 is a wasteful number, since it uses less digits than its factorization.

1349164116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37476791 (or 37476786 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1349164116 is about 36730.9694399699. The cubic root of 1349164116 is about 1104.9812970907.

The spelling of 1349164116 in words is "one billion, three hundred forty-nine million, one hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37476781 74953562 112430343 149907124 224860686 337291029 449721372 674582058 1349164116