112840434 has 72 divisors (see below), whose sum is σ = 293649408. Its totient is φ = 31192560.

The previous prime is 112840309. The next prime is 112840447. The reversal of 112840434 is 434048211.

It is a junction number, because it is equal to n+sod(n) for n = 112840398 and 112840407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25279 + ... + 29405.

It is an arithmetic number, because the mean of its divisors is an integer number (4078464).

Almost surely, 2^112840434 is an apocalyptic number.

112840434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112840434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146824704).

112840434 is an abundant number, since it is smaller than the sum of its proper divisors (180808974).

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

112840434 is a wasteful number, since it uses less digits than its factorization.

112840434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4170 counting only the distinct ones).

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

The square root of 112840434 is about 10622.6378080023. The cubic root of 112840434 is about 483.2311433052.

Adding to 112840434 its reverse (434048211), we get a palindrome (546888645).

The spelling of 112840434 in words is "one hundred twelve million, eight hundred forty thousand, four hundred thirty-four".