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114252345 = 32511172273
BaseRepresentation
bin1101100111101…
…01101000111001
321221222121202100
412303311220321
5213222033340
615200454013
72555062134
oct663655071
9257877670
10114252345
1159546529
123231a309
131a893a4c
141126121b
15a06c830
hex6cf5a39

114252345 has 24 divisors (see below), whose sum is σ = 198301896. Its totient is φ = 60853248.

The previous prime is 114252343. The next prime is 114252349. The reversal of 114252345 is 543252411.

114252345 is a `hidden beast` number, since 1 + 1 + 425 + 234 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7502121 + 106750224 = 2739^2 + 10332^2 .

It is not a de Polignac number, because 114252345 - 21 = 114252343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114252343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49129 + ... + 51401.

It is an arithmetic number, because the mean of its divisors is an integer number (8262579).

Almost surely, 2114252345 is an apocalyptic number.

114252345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114252345 is a deficient number, since it is larger than the sum of its proper divisors (84049551).

114252345 is a wasteful number, since it uses less digits than its factorization.

114252345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3398 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 114252345 is about 10688.8888571264. Note that the first 4 decimals coincide. The cubic root of 114252345 is about 485.2382646205.

The spelling of 114252345 in words is "one hundred fourteen million, two hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1117 2273 3351 5585 6819 10053 11365 16755 20457 34095 50265 102285 2538941 7616823 12694705 22850469 38084115 114252345