10382304 has 48 divisors (see below), whose sum is σ = 27603072. Its totient is φ = 3416448.

The previous prime is 10382293. The next prime is 10382357. The reversal of 10382304 is 40328301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7317 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (575064).

Almost surely, 2^10382304 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 10382304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801536).

10382304 is an abundant number, since it is smaller than the sum of its proper divisors (17220768).

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

10382304 is a wasteful number, since it uses less digits than its factorization.

10382304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10382304 is about 3222.1582828905. The cubic root of 10382304 is about 218.1547031960.

The spelling of 10382304 in words is "ten million, three hundred eighty-two thousand, three hundred four".