34320144 has 80 divisors (see below), whose sum is σ = 94868928. Its totient is φ = 10653696.

The previous prime is 34320107. The next prime is 34320173. The reversal of 34320144 is 44102343.

It is a self number, because there is not a number n which added to its sum of digits gives 34320144.

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 15 ways as a sum of consecutive naturals, for example, 111639 + ... + 111945.

Almost surely, 2^34320144 is an apocalyptic number.

34320144 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 34320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47434464).

34320144 is an abundant number, since it is smaller than the sum of its proper divisors (60548784).

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

34320144 is a wasteful number, since it uses less digits than its factorization.

34320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34320144 is about 5858.3396965352. The cubic root of 34320144 is about 324.9748114601.

Adding to 34320144 its reverse (44102343), we get a palindrome (78422487).

The spelling of 34320144 in words is "thirty-four million, three hundred twenty thousand, one hundred forty-four".