34149024 has 144 divisors (see below), whose sum is σ = 119613312. Its totient is φ = 8999424.

The previous prime is 34149007. The next prime is 34149047. The reversal of 34149024 is 42094143.

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

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, 25557 + ... + 26859.

It is an arithmetic number, because the mean of its divisors is an integer number (830648).

Almost surely, 2^34149024 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 34149024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59806656).

34149024 is an abundant number, since it is smaller than the sum of its proper divisors (85464288).

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

34149024 is a wasteful number, since it uses less digits than its factorization.

34149024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

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

The square root of 34149024 is about 5843.7166255731. The cubic root of 34149024 is about 324.4338039226.

The spelling of 34149024 in words is "thirty-four million, one hundred forty-nine thousand, twenty-four".