114434820 has 72 divisors (see below), whose sum is σ = 367547544. Its totient is φ = 28720128.

The previous prime is 114434779. The next prime is 114434843. The reversal of 114434820 is 28434411.

It can be written as a sum of positive squares in 4 ways, for example, as 13793796 + 100641024 = 3714^2 + 10032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15639 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (5104827).

Almost surely, 2^114434820 is an apocalyptic number.

114434820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114434820 is an abundant number, since it is smaller than the sum of its proper divisors (253112724).

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

114434820 is a wasteful number, since it uses less digits than its factorization.

114434820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37429 (or 37424 counting only the distinct ones).

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

The square root of 114434820 is about 10697.4211845659. The cubic root of 114434820 is about 485.4964555448.

The spelling of 114434820 in words is "one hundred fourteen million, four hundred thirty-four thousand, eight hundred twenty".