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114340293 = 32113112429
BaseRepresentation
bin1101101000010…
…11000111000101
321222011002101200
412310023013011
5213232342133
615202413113
72555606424
oct664130705
9258132350
10114340293
11595a6611
1232361199
131a8c4aa2
14112852bb
15a088913
hex6d0b1c5

114340293 has 12 divisors (see below), whose sum is σ = 166621260. Its totient is φ = 75551616.

The previous prime is 114340279. The next prime is 114340313. The reversal of 114340293 is 392043411.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 79977249 = 5862^2 + 8943^2 .

It is not a de Polignac number, because 114340293 - 222 = 110145989 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114340253) 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 11 ways as a sum of consecutive naturals, for example, 55198 + ... + 57231.

It is an arithmetic number, because the mean of its divisors is an integer number (13885105).

Almost surely, 2114340293 is an apocalyptic number.

It is an amenable number.

114340293 is a deficient number, since it is larger than the sum of its proper divisors (52280967).

114340293 is a wasteful number, since it uses less digits than its factorization.

114340293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112548 (or 112545 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 114340293 is about 10693.0020574205. The cubic root of 114340293 is about 485.3627399341.

The spelling of 114340293 in words is "one hundred fourteen million, three hundred forty thousand, two hundred ninety-three".

Divisors: 1 3 9 113 339 1017 112429 337287 1011861 12704477 38113431 114340293