34830144 has 84 divisors (see below), whose sum is σ = 105736644. Its totient is φ = 10924032.

The previous prime is 34830109. The next prime is 34830163. The reversal of 34830144 is 44103843.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 19713600 = 3888^2 + 4440^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8014 + ... + 11570.

Almost surely, 2^34830144 is an apocalyptic number.

34830144 is a gapful number since it is divisible by the number (34) 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 34830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868322).

34830144 is an abundant number, since it is smaller than the sum of its proper divisors (70906500).

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

34830144 is a wasteful number, since it uses less digits than its factorization.

34830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34830144 is about 5901.7068717448. The cubic root of 34830144 is about 326.5766200972.

Adding to 34830144 its reverse (44103843), we get a palindrome (78933987).

The spelling of 34830144 in words is "thirty-four million, eight hundred thirty thousand, one hundred forty-four".