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114058341 = 334224383
BaseRepresentation
bin1101100110001…
…10010001100101
321221121202122000
412303012101211
5213144331331
615152355513
72553323415
oct663062145
9257552560
10114058341
11594237a1
1232245b99
131a826657
1411210645
15a0300e6
hex6cc6465

114058341 has 8 divisors (see below), whose sum is σ = 168975360. Its totient is φ = 76038876.

The previous prime is 114058333. The next prime is 114058361. The reversal of 114058341 is 143850411.

It is a happy number.

114058341 is a `hidden beast` number, since 1 + 1 + 40 + 583 + 41 = 666.

It is not a de Polignac number, because 114058341 - 23 = 114058333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4224383 = 114058341 / (1 + 1 + 4 + 0 + 5 + 8 + 3 + 4 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114058361) 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, 2112165 + ... + 2112218.

It is an arithmetic number, because the mean of its divisors is an integer number (21121920).

Almost surely, 2114058341 is an apocalyptic number.

It is an amenable number.

114058341 is a deficient number, since it is larger than the sum of its proper divisors (54917019).

114058341 is an equidigital number, since it uses as much as digits as its factorization.

114058341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224392 (or 4224386 counting only the distinct ones).

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

The square root of 114058341 is about 10679.8099702195. The cubic root of 114058341 is about 484.9634591806.

It can be divided in two parts, 1140583 and 41, that added together give a square (1140624 = 10682).

The spelling of 114058341 in words is "one hundred fourteen million, fifty-eight thousand, three hundred forty-one".

Divisors: 1 3 9 27 4224383 12673149 38019447 114058341