13482304 has 42 divisors (see below), whose sum is σ = 29424122. Its totient is φ = 6124800.

The previous prime is 13482289. The next prime is 13482331. The reversal of 13482304 is 40328431.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 6512704 = 2640^2 + 2552^2 .

It is a super-2 number, since 2×13482304² = 363545042296832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6874 + ... + 8614.

Almost surely, 2^13482304 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 13482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712061).

13482304 is an abundant number, since it is smaller than the sum of its proper divisors (15941818).

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

13482304 is a wasteful number, since it uses less digits than its factorization.

13482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 13482304 is about 3671.8257039244. The cubic root of 13482304 is about 238.0060728625.

The spelling of 13482304 in words is "thirteen million, four hundred eighty-two thousand, three hundred four".