10344312 has 96 divisors (see below), whose sum is σ = 31477680. Its totient is φ = 3041280.

The previous prime is 10344311. The next prime is 10344343. The reversal of 10344312 is 21344301.

10344312 is a `hidden beast` number, since 10 + 344 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29128 + ... + 29480.

Almost surely, 2^10344312 is an apocalyptic number.

10344312 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 10344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738840).

10344312 is an abundant number, since it is smaller than the sum of its proper divisors (21133368).

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

10344312 is a wasteful number, since it uses less digits than its factorization.

10344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10344312 is about 3216.2574523816. The cubic root of 10344312 is about 217.8882798766. Note that the first 3 decimals are identical.

Adding to 10344312 its reverse (21344301), we get a palindrome (31688613).

The spelling of 10344312 in words is "ten million, three hundred forty-four thousand, three hundred twelve".