114284304 has 80 divisors (see below), whose sum is σ = 330603840. Its totient is φ = 37797120.

The previous prime is 114284267. The next prime is 114284329. The reversal of 114284304 is 403482411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58219 + ... + 60149.

It is an arithmetic number, because the mean of its divisors is an integer number (4132548).

Almost surely, 2^114284304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114284304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165301920).

114284304 is an abundant number, since it is smaller than the sum of its proper divisors (216319536).

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

114284304 is a wasteful number, since it uses less digits than its factorization.

114284304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 114284304 is about 10690.3837162190. The cubic root of 114284304 is about 485.2835044913.

The spelling of 114284304 in words is "one hundred fourteen million, two hundred eighty-four thousand, three hundred four".