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10314 = 233191

10314 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 3420.

The previous prime is 10313. The next prime is 10321. The reversal of 10314 is 41301.

10314 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10296 and 10305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10314.

It is not an unprimeable number, because it can be changed into a prime (10313) 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

210314 is an apocalyptic number.

10314 is an abundant number, since it is smaller than the sum of its proper divisors (12726).

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 (11520).

10314 is a wasteful number, since it uses less digits than its factorization.

10314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10314 is about 101.5578652789. The cubic root of 10314 is about 21.7675245207.

Adding to 10314 its reverse (41301), we get a palindrome (51615).

It can be divided in two parts, 1031 and 4, that added together give a triangular number (1035 = T45).

The spelling of 10314 in words is "ten thousand, three hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 191 382 573 1146 1719 3438 5157 10314