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6314112 = 2735729
BaseRepresentation
bin11000000101100010000000
3102212210100000
4120011202000
53104022422
6343200000
7104445330
oct30054200
912783300
106314112
113622982
122146000
131400c7c
14ba50c0
1584acac
hex605880

6314112 has 192 divisors, whose sum is σ = 22276800. Its totient is φ = 1741824.

The previous prime is 6314107. The next prime is 6314129. The reversal of 6314112 is 2114136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217714 + ... + 217742.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

Almost surely, 26314112 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 6314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

6314112 is an abundant number, since it is smaller than the sum of its proper divisors (15962688).

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

6314112 is an equidigital number, since it uses as much as digits as its factorization.

6314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

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

The square root of 6314112 is about 2512.7896847926. The cubic root of 6314112 is about 184.8292751732.

Adding to 6314112 its reverse (2114136), we get a palindrome (8428248).

The spelling of 6314112 in words is "six million, three hundred fourteen thousand, one hundred twelve".