112384734 has 192 divisors, whose sum is σ = 315187200. Its totient is φ = 26308800.

The previous prime is 112384729. The next prime is 112384747. The reversal of 112384734 is 437483211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112384695 and 112384704.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1904797 + ... + 1904855.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2^112384734 is an apocalyptic number.

112384734 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 112384734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

112384734 is an abundant number, since it is smaller than the sum of its proper divisors (202802466).

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

112384734 is a wasteful number, since it uses less digits than its factorization.

112384734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 112384734 is about 10601.1666339135. The cubic root of 112384734 is about 482.5797647041.

The spelling of 112384734 in words is "one hundred twelve million, three hundred eighty-four thousand, seven hundred thirty-four".