14338320 has 40 divisors (see below), whose sum is σ = 44449536. Its totient is φ = 3823488.

The previous prime is 14338309. The next prime is 14338367. The reversal of 14338320 is 2383341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×14338320³ (a number of 22 digits) contains 333 as substring.

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

It is a nialpdrome in base 8.

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, 29632 + ... + 30111.

Almost surely, 2^14338320 is an apocalyptic number.

14338320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14338320 is an abundant number, since it is smaller than the sum of its proper divisors (30111216).

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

14338320 is a wasteful number, since it uses less digits than its factorization.

14338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59759 (or 59753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 14338320 is about 3786.5974172072. The cubic root of 14338320 is about 242.9402213706.

The spelling of 14338320 in words is "fourteen million, three hundred thirty-eight thousand, three hundred twenty".