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114660342 = 232173671021
BaseRepresentation
bin1101101010110…
…01001111110110
321222202100102100
412311121033312
5213323112332
615213322530
72561411466
oct665311766
9258670370
10114660342
11597a5015
1232496446
131a9a7674
1411329ba6
15a0ed67c
hex6d593f6

114660342 has 48 divisors (see below), whose sum is σ = 264019392. Its totient is φ = 35838720.

The previous prime is 114660341. The next prime is 114660347. The reversal of 114660342 is 243066411.

114660342 is a `hidden beast` number, since 1 + 14 + 6 + 603 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114660341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111792 + ... + 112812.

It is an arithmetic number, because the mean of its divisors is an integer number (5500404).

Almost surely, 2114660342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114660342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132009696).

114660342 is an abundant number, since it is smaller than the sum of its proper divisors (149359050).

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

114660342 is a wasteful number, since it uses less digits than its factorization.

114660342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 114660342 is about 10707.9569479897. The cubic root of 114660342 is about 485.8151763809.

The spelling of 114660342 in words is "one hundred fourteen million, six hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 367 734 1021 1101 2042 2202 3063 3303 6126 6239 6606 9189 12478 17357 18378 18717 34714 37434 52071 56151 104142 112302 156213 312426 374707 749414 1124121 2248242 3372363 6370019 6744726 12740038 19110057 38220114 57330171 114660342