114304320 has 336 divisors, whose sum is σ = 439350912. Its totient is φ = 27095040.

The previous prime is 114304313. The next prime is 114304331. The reversal of 114304320 is 23403411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114304293 and 114304302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609885 + ... + 1609955.

It is an arithmetic number, because the mean of its divisors is an integer number (1307592).

Almost surely, 2^114304320 is an apocalyptic number.

114304320 is a gapful number since it is divisible by the number (10) 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 114304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

114304320 is an abundant number, since it is smaller than the sum of its proper divisors (325046592).

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

114304320 is a wasteful number, since it uses less digits than its factorization.

114304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114304320 is about 10691.3198436863. The cubic root of 114304320 is about 485.3118340380.

Adding to 114304320 its reverse (23403411), we get a palindrome (137707731).

Subtracting from 114304320 its reverse (23403411), we obtain a palindrome (90900909).

The spelling of 114304320 in words is "one hundred fourteen million, three hundred four thousand, three hundred twenty".