34144224 has 24 divisors (see below), whose sum is σ = 89628840. Its totient is φ = 11381376.

The previous prime is 34144207. The next prime is 34144301. The reversal of 34144224 is 42244143.

It is a happy number.

34144224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34144194 and 34144203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177739 + ... + 177930.

It is an arithmetic number, because the mean of its divisors is an integer number (3734535).

Almost surely, 2^34144224 is an apocalyptic number.

It is an amenable number.

34144224 is an abundant number, since it is smaller than the sum of its proper divisors (55484616).

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

34144224 is a wasteful number, since it uses less digits than its factorization.

34144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355682 (or 355674 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34144224 is about 5843.3059136075. The cubic root of 34144224 is about 324.4186023634.

Adding to 34144224 its reverse (42244143), we get a palindrome (76388367).

The spelling of 34144224 in words is "thirty-four million, one hundred forty-four thousand, two hundred twenty-four".