13404384 has 144 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 3732480.

The previous prime is 13404383. The next prime is 13404403. The reversal of 13404384 is 48340431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122922 + ... + 123030.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^13404384 is an apocalyptic number.

13404384 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 13404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

13404384 is an abundant number, since it is smaller than the sum of its proper divisors (31280256).

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

13404384 is a wasteful number, since it uses less digits than its factorization.

13404384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13404384 is about 3661.1998033432. The cubic root of 13404384 is about 237.5466737448.

The spelling of 13404384 in words is "thirteen million, four hundred four thousand, three hundred eighty-four".