34430424 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 9192960.

The previous prime is 34430419. The next prime is 34430449. The reversal of 34430424 is 42403443.

It is a happy number.

34430424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 34430394 and 34430403.

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 31 ways as a sum of consecutive naturals, for example, 180169 + ... + 180359.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^34430424 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 34430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

34430424 is an abundant number, since it is smaller than the sum of its proper divisors (70631976).

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

34430424 is a wasteful number, since it uses less digits than its factorization.

34430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34430424 is about 5867.7443707101. The cubic root of 34430424 is about 325.3225169222.

Adding to 34430424 its reverse (42403443), we get a palindrome (76833867).

The spelling of 34430424 in words is "thirty-four million, four hundred thirty thousand, four hundred twenty-four".