34304144 has 40 divisors (see below), whose sum is σ = 77405760. Its totient is φ = 14421888.

The previous prime is 34304141. The next prime is 34304183. The reversal of 34304144 is 44140343.

It is not an unprimeable number, because it can be changed into a prime (34304141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047 + ... + 8825.

It is an arithmetic number, because the mean of its divisors is an integer number (1935144).

Almost surely, 2^34304144 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 34304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38702880).

34304144 is an abundant number, since it is smaller than the sum of its proper divisors (43101616).

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

34304144 is a wasteful number, since it uses less digits than its factorization.

34304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34304144 is about 5856.9739627217. The cubic root of 34304144 is about 324.9243026859.

Adding to 34304144 its reverse (44140343), we get a palindrome (78444487).

The spelling of 34304144 in words is "thirty-four million, three hundred four thousand, one hundred forty-four".