13730304 has 80 divisors (see below), whose sum is σ = 41836608. Its totient is φ = 3919872.

The previous prime is 13730263. The next prime is 13730317. The reversal of 13730304 is 40303731.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10114 + ... + 11390.

Almost surely, 2^13730304 is an apocalyptic number.

13730304 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 13730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918304).

13730304 is an abundant number, since it is smaller than the sum of its proper divisors (28106304).

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

13730304 is an equidigital number, since it uses as much as digits as its factorization.

13730304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 13730304 is about 3705.4424836988. The cubic root of 13730304 is about 239.4565481235.

The spelling of 13730304 in words is "thirteen million, seven hundred thirty thousand, three hundred four".