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114342696 = 23321329397
BaseRepresentation
bin1101101000010…
…11101100101000
321222011012200200
412310023230220
5213232431241
615202432200
72555616426
oct664135450
9258135620
10114342696
11595a83a6
1232362660
131a8c5c00
1411286116
15a0894b6
hex6d0bb28

114342696 has 72 divisors (see below), whose sum is σ = 335367630. Its totient is φ = 35178624.

The previous prime is 114342689. The next prime is 114342721. The reversal of 114342696 is 696243411.

114342696 is a `hidden beast` number, since 1 + 143 + 426 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19980900 + 94361796 = 4470^2 + 9714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114342696.

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 17 ways as a sum of consecutive naturals, for example, 7470 + ... + 16866.

Almost surely, 2114342696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114342696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167683815).

114342696 is an abundant number, since it is smaller than the sum of its proper divisors (221024934).

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

114342696 is a wasteful number, since it uses less digits than its factorization.

114342696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9415 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 114342696 is about 10693.1144200368. The cubic root of 114342696 is about 485.3661400726.

The spelling of 114342696 in words is "one hundred fourteen million, three hundred forty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 9397 12168 18794 28191 37588 56382 75176 84573 112764 122161 169146 225528 244322 338292 366483 488644 676584 732966 977288 1099449 1465932 1588093 2198898 2931864 3176186 4397796 4764279 6352372 8795592 9528558 12704744 14292837 19057116 28585674 38114232 57171348 114342696