34290144 has 144 divisors (see below), whose sum is σ = 113454432. Its totient is φ = 9621504.

The previous prime is 34290121. The next prime is 34290161. The reversal of 34290144 is 44109243.

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

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 23 ways as a sum of consecutive naturals, for example, 147052 + ... + 147284.

It is an arithmetic number, because the mean of its divisors is an integer number (787878).

Almost surely, 2^34290144 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 34290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56727216).

34290144 is an abundant number, since it is smaller than the sum of its proper divisors (79164288).

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

34290144 is a wasteful number, since it uses less digits than its factorization.

34290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34290144 is about 5855.7786843425. The cubic root of 34290144 is about 324.8800946236.

Adding to 34290144 its reverse (44109243), we get a palindrome (78399387).

The spelling of 34290144 in words is "thirty-four million, two hundred ninety thousand, one hundred forty-four".