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6312 = 233263

6312 has 16 divisors (see below), whose sum is σ = 15840. Its totient is φ = 2096.

The previous prime is 6311. The next prime is 6317. The reversal of 6312 is 2136.

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.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (6311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

It is an amenable number.

6312 is an abundant number, since it is smaller than the sum of its proper divisors (9528).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920).

6312 is a wasteful number, since it uses less digits than its factorization.

6312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 6312 is about 79.4480962642. The cubic root of 6312 is about 18.4808665098.

Adding to 6312 its reverse (2136), we get a palindrome (8448).

The spelling of 6312 in words is "six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 263 526 789 1052 1578 2104 3156 6312