34023424 has 48 divisors (see below), whose sum is σ = 70024500. Its totient is φ = 16515072.

The previous prime is 34023397. The next prime is 34023439. The reversal of 34023424 is 42432043.

It can be written as a sum of positive squares in 2 ways, for example, as 31360000 + 2663424 = 5600^2 + 1632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34023395 and 34023404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75552 + ... + 76000.

Almost surely, 2^34023424 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 34023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35012250).

34023424 is an abundant number, since it is smaller than the sum of its proper divisors (36001076).

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

34023424 is an equidigital number, since it uses as much as digits as its factorization.

34023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34023424 is about 5832.9601404433. The cubic root of 34023424 is about 324.0355597815.

Adding to 34023424 its reverse (42432043), we get a palindrome (76455467).

The spelling of 34023424 in words is "thirty-four million, twenty-three thousand, four hundred twenty-four".