434234304 has 112 divisors (see below), whose sum is σ = 1458976000. Its totient is φ = 124063488.

The previous prime is 434234299. The next prime is 434234327. The reversal of 434234304 is 403432434.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854 + ... + 30045.

Almost surely, 2^434234304 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 434234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729488000).

434234304 is an abundant number, since it is smaller than the sum of its proper divisors (1024741696).

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

434234304 is a wasteful number, since it uses less digits than its factorization.

434234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35927 (or 35911 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 434234304 is about 20838.2893731707. The cubic root of 434234304 is about 757.2536518804.

Adding to 434234304 its reverse (403432434), we get a palindrome (837666738).

The spelling of 434234304 in words is "four hundred thirty-four million, two hundred thirty-four thousand, three hundred four".