13416384 has 28 divisors (see below), whose sum is σ = 35498024. Its totient is φ = 4472064.

The previous prime is 13416341. The next prime is 13416457. The reversal of 13416384 is 48361431.

13416384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13416384³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34747 + ... + 35130.

Almost surely, 2^13416384 is an apocalyptic number.

It is an amenable number.

13416384 is an abundant number, since it is smaller than the sum of its proper divisors (22081640).

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

13416384 is an equidigital number, since it uses as much as digits as its factorization.

13416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69892 (or 69882 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13416384 is about 3662.8382437667. The cubic root of 13416384 is about 237.6175388656.

The spelling of 13416384 in words is "thirteen million, four hundred sixteen thousand, three hundred eighty-four".