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114188346 = 23316312973
BaseRepresentation
bin1101100111001…
…10000000111010
321221212100222000
412303212000322
5213213011341
615155241430
72554404426
oct663460072
9257770860
10114188346
1159502438
12322a9276
131a87088c
1411245b86
15a0588b6
hex6ce603a

114188346 has 32 divisors (see below), whose sum is σ = 255328320. Its totient is φ = 37826352.

The previous prime is 114188339. The next prime is 114188363. The reversal of 114188346 is 643881411.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114188346.

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 15 ways as a sum of consecutive naturals, for example, 2316 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (7979010).

Almost surely, 2114188346 is an apocalyptic number.

114188346 is an abundant number, since it is smaller than the sum of its proper divisors (141139974).

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

114188346 is a wasteful number, since it uses less digits than its factorization.

114188346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13147 (or 13141 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 114188346 is about 10685.8947215477. The cubic root of 114188346 is about 485.1476448496.

The spelling of 114188346 in words is "one hundred fourteen million, one hundred eighty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 163 326 489 978 1467 2934 4401 8802 12973 25946 38919 77838 116757 233514 350271 700542 2114599 4229198 6343797 12687594 19031391 38062782 57094173 114188346