13814304 has 96 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 3870720.

The previous prime is 13814303. The next prime is 13814321. The reversal of 13814304 is 40341831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13814303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40824 + ... + 41160.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 2^13814304 is an apocalyptic number.

13814304 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 13814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

13814304 is an abundant number, since it is smaller than the sum of its proper divisors (28432992).

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

13814304 is a wasteful number, since it uses less digits than its factorization.

13814304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13814304 is about 3716.7598792497. The cubic root of 13814304 is about 239.9438757652.

The spelling of 13814304 in words is "thirteen million, eight hundred fourteen thousand, three hundred four".