14804384 has 96 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 5870592.

The previous prime is 14804371. The next prime is 14804407. The reversal of 14804384 is 48340841.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14804384.

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 15 ways as a sum of consecutive naturals, for example, 279302 + ... + 279354.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^14804384 is an apocalyptic number.

14804384 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 14804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

14804384 is an abundant number, since it is smaller than the sum of its proper divisors (21120736).

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

14804384 is a wasteful number, since it uses less digits than its factorization.

14804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 14804384 is about 3847.6465534142. The cubic root of 14804384 is about 245.5444452006.

The spelling of 14804384 in words is "fourteen million, eight hundred four thousand, three hundred eighty-four".