113434880 has 144 divisors (see below), whose sum is σ = 310598064. Its totient is φ = 39321600.

The previous prime is 113434843. The next prime is 113434901. The reversal of 113434880 is 88434311.

113434880 = T₄₁₇₁ + T₄₁₇₂ + ... + T₄₁₈₃.

It can be written as a sum of positive squares in 8 ways, for example, as 5607424 + 107827456 = 2368^2 + 10384^2 .

It is a super-2 number, since 2×113434880² = 25734944001228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 282680 + ... + 283080.

It is an arithmetic number, because the mean of its divisors is an integer number (2156931).

Almost surely, 2^113434880 is an apocalyptic number.

113434880 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 113434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155299032).

113434880 is an abundant number, since it is smaller than the sum of its proper divisors (197163184).

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

113434880 is a wasteful number, since it uses less digits than its factorization.

113434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 113434880 is about 10650.5812047982. The cubic root of 113434880 is about 484.0782151674.

The spelling of 113434880 in words is "one hundred thirteen million, four hundred thirty-four thousand, eight hundred eighty".