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114234132 = 223293110589
BaseRepresentation
bin1101100111100…
…01001100010100
321221221200202210
412303301030110
5213220443012
615200233420
72554655055
oct663611424
9257850683
10114234132
1159533881
123230b870
131a88867c
141125872c
15a06723c
hex6cf1314

114234132 has 48 divisors (see below), whose sum is σ = 284659200. Its totient is φ = 35575680.

The previous prime is 114234121. The next prime is 114234139. The reversal of 114234132 is 231432411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114234099 and 114234108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114234139) 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 15 ways as a sum of consecutive naturals, for example, 5494 + ... + 16082.

It is an arithmetic number, because the mean of its divisors is an integer number (5930400).

Almost surely, 2114234132 is an apocalyptic number.

114234132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114234132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142329600).

114234132 is an abundant number, since it is smaller than the sum of its proper divisors (170425068).

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

114234132 is a wasteful number, since it uses less digits than its factorization.

114234132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10654 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 114234132 is about 10688.0368637089. The cubic root of 114234132 is about 485.2124792587.

Adding to 114234132 its reverse (231432411), we get a palindrome (345666543).

The spelling of 114234132 in words is "one hundred fourteen million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10589 10788 21178 31767 42356 63534 127068 307081 328259 614162 656518 921243 984777 1228324 1313036 1842486 1969554 3684972 3939108 9519511 19039022 28558533 38078044 57117066 114234132