305434000 has 40 divisors (see below), whose sum is σ = 738544248. Its totient is φ = 122172800.

The previous prime is 305433991. The next prime is 305434007. The reversal of 305434000 is 434503.

305434000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 305270784 = 404^2 + 17472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (305434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74359 + ... + 78358.

Almost surely, 2^305434000 is an apocalyptic number.

It is an amenable number.

305434000 is an abundant number, since it is smaller than the sum of its proper divisors (433110248).

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

305434000 is a wasteful number, since it uses less digits than its factorization.

305434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152740 (or 152724 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 305434000 is about 17476.6701633921. The cubic root of 305434000 is about 673.4506761041.

Adding to 305434000 its reverse (434503), we get a palindrome (305868503).

It can be divided in two parts, 30543 and 4000, that added together give a palindrome (34543).

The spelling of 305434000 in words is "three hundred five million, four hundred thirty-four thousand".