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10344 = 233431
BaseRepresentation
bin10100001101000
3112012010
42201220
5312334
6115520
742105
oct24150
915163
1010344
117854
125ba0
134929
143aac
1530e9
hex2868

10344 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 3440.

The previous prime is 10343. The next prime is 10357. The reversal of 10344 is 44301.

Subtracting from 10344 its product of nonzero digits (48), we obtain a triangular number (10296 = T143).

Adding to 10344 its reverse (44301), we get a palindrome (54645).

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

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10344.

It is not an unprimeable number, because it can be changed into a prime (10343) 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, 192 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

210344 is an apocalyptic number.

It is an amenable number.

10344 is an abundant number, since it is smaller than the sum of its proper divisors (15576).

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 (12960).

10344 is a wasteful number, since it uses less digits than its factorization.

10344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10344 is about 101.7054570807. The cubic root of 10344 is about 21.7886089242.

The spelling of 10344 in words is "ten thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 431 862 1293 1724 2586 3448 5172 10344