434304 has 96 divisors (see below), whose sum is σ = 1392300. Its totient is φ = 129024.

The previous prime is 434303. The next prime is 434311. The reversal of 434304 is 403434.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 14400 = 648^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (434303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14962 + ... + 14990.

2⁴³⁴³⁰⁴ 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 434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696150).

434304 is an abundant number, since it is smaller than the sum of its proper divisors (957996).

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

434304 is a wasteful number, since it uses less digits than its factorization.

434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 434304 is about 659.0174504518. The cubic root of 434304 is about 75.7294163594.

Adding to 434304 its reverse (403434), we get a palindrome (837738).

It can be divided in two parts, 43430 and 4, that added together give a palindrome (43434).

The spelling of 434304 in words is "four hundred thirty-four thousand, three hundred four".