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114312 = 23311433
BaseRepresentation
bin11011111010001000
312210210210
4123322020
512124222
62241120
7654162
oct337210
9183723
10114312
1178980
12561a0
1340053
142d932
1523d0c
hex1be88

114312 has 32 divisors (see below), whose sum is σ = 312480. Its totient is φ = 34560.

The previous prime is 114311. The next prime is 114319. The reversal of 114312 is 213411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (114311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2114312 is an apocalyptic number.

114312 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 114312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

114312 is an abundant number, since it is smaller than the sum of its proper divisors (198168).

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

114312 is a wasteful number, since it uses less digits than its factorization.

114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 114312 is about 338.1005767519. The cubic root of 114312 is about 48.5322703010.

Adding to 114312 its reverse (213411), we get a palindrome (327723).

Subtracting 114312 from its reverse (213411), we obtain a palindrome (99099).

The spelling of 114312 in words is "one hundred fourteen thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 433 866 1299 1732 2598 3464 4763 5196 9526 10392 14289 19052 28578 38104 57156 114312