114304000 has 176 divisors, whose sum is σ = 306558720. Its totient is φ = 42393600.

The previous prime is 114303991. The next prime is 114304027. The reversal of 114304000 is 403411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431977 + ... + 2432023.

Almost surely, 2^114304000 is an apocalyptic number.

114304000 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 114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

114304000 is an abundant number, since it is smaller than the sum of its proper divisors (192254720).

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

114304000 is an equidigital number, since it uses as much as digits as its factorization.

114304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114304000 is about 10691.3048782644. The cubic root of 114304000 is about 485.3113811536.

Adding to 114304000 its reverse (403411), we get a palindrome (114707411).

The spelling of 114304000 in words is "one hundred fourteen million, three hundred four thousand".