4334112 has 72 divisors (see below), whose sum is σ = 12530700. Its totient is φ = 1420800.

The previous prime is 4334107. The next prime is 4334119. The reversal of 4334112 is 2114334.

It can be written as a sum of positive squares in 2 ways, for example, as 4309776 + 24336 = 2076^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4334119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29014 + ... + 29162.

Almost surely, 2^4334112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265350).

4334112 is an abundant number, since it is smaller than the sum of its proper divisors (8196588).

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

4334112 is a wasteful number, since it uses less digits than its factorization.

4334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4334112 is about 2081.8530207486. The cubic root of 4334112 is about 163.0422061907.

Adding to 4334112 its reverse (2114334), we get a palindrome (6448446).

The spelling of 4334112 in words is "four million, three hundred thirty-four thousand, one hundred twelve".