10314304 has 168 divisors, whose sum is σ = 29187648. Its totient is φ = 3548160.

The previous prime is 10314287. The next prime is 10314341. The reversal of 10314304 is 40341301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 448437 + ... + 448459.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^10314304 is an apocalyptic number.

10314304 is a gapful number since it is divisible by the number (14) 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 10314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

10314304 is an abundant number, since it is smaller than the sum of its proper divisors (18873344).

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

10314304 is a wasteful number, since it uses less digits than its factorization.

10314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10314304 is about 3211.5890148025. The cubic root of 10314304 is about 217.6773838094.

Adding to 10314304 its reverse (40341301), we get a palindrome (50655605).

It can be divided in two parts, 1031 and 4304, that added together give a palindrome (5335).

The spelling of 10314304 in words is "ten million, three hundred fourteen thousand, three hundred four".