34140288 has 128 divisors (see below), whose sum is σ = 111726720. Its totient is φ = 8994816.

The previous prime is 34140287. The next prime is 34140299. The reversal of 34140288 is 88204143.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (34140287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34456 + ... + 35432.

It is an arithmetic number, because the mean of its divisors is an integer number (872865).

Almost surely, 2^34140288 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 34140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55863360).

34140288 is an abundant number, since it is smaller than the sum of its proper divisors (77586432).

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

34140288 is a wasteful number, since it uses less digits than its factorization.

34140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 34140288 is about 5842.9691082531. The cubic root of 34140288 is about 324.4061360217.

The spelling of 34140288 in words is "thirty-four million, one hundred forty thousand, two hundred eighty-eight".