34113312 has 144 divisors (see below), whose sum is σ = 104019552. Its totient is φ = 10990080.

The previous prime is 34113307. The next prime is 34113323. The reversal of 34113312 is 21331143.

34113312 is a `hidden beast` number, since 341 + 13 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×34113312³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318763 + ... + 318869.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^34113312 is an apocalyptic number.

34113312 is a gapful number since it is divisible by the number (32) 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 34113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

34113312 is an abundant number, since it is smaller than the sum of its proper divisors (69906240).

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

34113312 is a wasteful number, since it uses less digits than its factorization.

34113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 34113312 is about 5840.6602366513. The cubic root of 34113312 is about 324.3206701750.

Adding to 34113312 its reverse (21331143), we get a palindrome (55444455).

The spelling of 34113312 in words is "thirty-four million, one hundred thirteen thousand, three hundred twelve".