112306338 has 48 divisors (see below), whose sum is σ = 256183200. Its totient is φ = 36866016.

The previous prime is 112306303. The next prime is 112306343. The reversal of 112306338 is 833603211.

It is a happy number.

112306338 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 633 + 8 = 666.

It is a super-2 number, since 2×112306338² = 25225427109940488, which contains 22 as substring.

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

It is a Curzon number.

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, 30838 + ... + 34286.

It is an arithmetic number, because the mean of its divisors is an integer number (5337150).

Almost surely, 2^112306338 is an apocalyptic number.

112306338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112306338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091600).

112306338 is an abundant number, since it is smaller than the sum of its proper divisors (143876862).

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

112306338 is an equidigital number, since it uses as much as digits as its factorization.

112306338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 112306338 is about 10597.4684712907. The cubic root of 112306338 is about 482.4675278602.

Adding to 112306338 its reverse (833603211), we get a palindrome (945909549).

The spelling of 112306338 in words is "one hundred twelve million, three hundred six thousand, three hundred thirty-eight".