10379304 has 72 divisors (see below), whose sum is σ = 30474990. Its totient is φ = 3189888.

The previous prime is 10379293. The next prime is 10379311. The reversal of 10379304 is 40397301.

It can be written as a sum of positive squares in 3 ways, for example, as 2528100 + 7851204 = 1590^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11742 + ... + 12594.

Almost surely, 2^10379304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10379304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237495).

10379304 is an abundant number, since it is smaller than the sum of its proper divisors (20095686).

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

10379304 is a wasteful number, since it uses less digits than its factorization.

10379304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10379304 is about 3221.6927227779. The cubic root of 10379304 is about 218.1336890051.

The spelling of 10379304 in words is "ten million, three hundred seventy-nine thousand, three hundred four".