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114311232 = 2632728351
BaseRepresentation
bin1101101000001…
…00000001000000
321222002121112100
412310010001000
5213230424412
615202030400
72555425620
oct664040100
9258077470
10114311232
11595867a2
1232348400
131a8b47a9
1411278880
15a07eedc
hex6d04040

114311232 has 84 divisors (see below), whose sum is σ = 374473216. Its totient is φ = 32659200.

The previous prime is 114311227. The next prime is 114311257. The reversal of 114311232 is 232113411.

114311232 is a `hidden beast` number, since 1 + 1 + 431 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1143112322 = 26134115522715648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10144 + ... + 18207.

Almost surely, 2114311232 is an apocalyptic number.

114311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114311232 is an abundant number, since it is smaller than the sum of its proper divisors (260161984).

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

114311232 is a wasteful number, since it uses less digits than its factorization.

114311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28376 (or 28363 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 114311232 is about 10691.6430916861. The cubic root of 114311232 is about 485.3216161349.

Adding to 114311232 its reverse (232113411), we get a palindrome (346424643).

The spelling of 114311232 in words is "one hundred fourteen million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 28351 56702 85053 113404 170106 198457 226808 255159 340212 396914 453616 510318 595371 680424 793828 907232 1020636 1190742 1360848 1587656 1786113 1814464 2041272 2381484 2721696 3175312 3572226 4082544 4762968 5443392 6350624 7144452 8165088 9525936 12701248 14288904 16330176 19051872 28577808 38103744 57155616 114311232