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114385104 = 2432794341
BaseRepresentation
bin1101101000101…
…10000011010000
321222020100212100
412310112003100
5213240310404
615203400400
72556154161
oct664260320
9258210770
10114385104
1159627249
1232383100
131a90c2c2
1411297768
15a096d39
hex6d160d0

114385104 has 30 divisors (see below), whose sum is σ = 320119826. Its totient is φ = 38128320.

The previous prime is 114385091. The next prime is 114385151. The reversal of 114385104 is 401583411.

It is a happy number.

114385104 is a `hidden beast` number, since 1 + 143 + 8 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 9363600 = 10248^2 + 3060^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 397027 + ... + 397314.

Almost surely, 2114385104 is an apocalyptic number.

It is an amenable number.

114385104 is an abundant number, since it is smaller than the sum of its proper divisors (205734722).

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

114385104 is a wasteful number, since it uses less digits than its factorization.

114385104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794355 (or 794346 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114385104 is about 10695.0971945093. The cubic root of 114385104 is about 485.4261376758.

The spelling of 114385104 in words is "one hundred fourteen million, three hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 794341 1588682 2383023 3177364 4766046 6354728 7149069 9532092 12709456 14298138 19064184 28596276 38128368 57192552 114385104