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114234032 = 24113112087
BaseRepresentation
bin1101100111100…
…01001010110000
321221221200122002
412303301022300
5213220442112
615200233132
72554654553
oct663611260
9257850562
10114234032
11595337a0
123230b7a8
131a888603
141125869a
15a0671c2
hex6cf12b0

114234032 has 40 divisors (see below), whose sum is σ = 242341632. Its totient is φ = 51732800.

The previous prime is 114233993. The next prime is 114234053. The reversal of 114234032 is 230432411.

It is a junction number, because it is equal to n+sod(n) for n = 114233995 and 114234013.

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 7 ways as a sum of consecutive naturals, for example, 53693 + ... + 55779.

Almost surely, 2114234032 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 114234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170816).

114234032 is an abundant number, since it is smaller than the sum of its proper divisors (128107600).

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

114234032 is a wasteful number, since it uses less digits than its factorization.

114234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 114234032 is about 10688.0321855803. The cubic root of 114234032 is about 485.2123376745.

Adding to 114234032 its reverse (230432411), we get a palindrome (344666443).

The spelling of 114234032 in words is "one hundred fourteen million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 311 622 1244 2087 2488 3421 4174 4976 6842 8348 13684 16696 22957 27368 33392 45914 54736 91828 183656 367312 649057 1298114 2596228 5192456 7139627 10384912 14279254 28558508 57117016 114234032