34150144 has 144 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 12828672.

The previous prime is 34150141. The next prime is 34150159. The reversal of 34150144 is 44105143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34150141) 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, 578787 + ... + 578845.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^34150144 is an apocalyptic number.

34150144 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 34150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

34150144 is an abundant number, since it is smaller than the sum of its proper divisors (54150656).

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

34150144 is a wasteful number, since it uses less digits than its factorization.

34150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 34150144 is about 5843.8124542117. The cubic root of 34150144 is about 324.4373507481.

Adding to 34150144 its reverse (44105143), we get a palindrome (78255287).

The spelling of 34150144 in words is "thirty-four million, one hundred fifty thousand, one hundred forty-four".