234209538304 has 243 divisors, whose sum is σ = 567036309567. Its totient is φ = 96263860224.

The previous prime is 234209538281. The next prime is 234209538313. The reversal of 234209538304 is 403835902432.

The square root of 234209538304 is 483952.

It is a perfect power (a square), and thus also a powerful number.

234209538304 is digitally balanced in base 2, 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 37499547904 + 196709990400 = 193648^2 + 443520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1571876022 + ... + 1571876170.

Almost surely, 2^234209538304 is an apocalyptic number.

234209538304 is the 483952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234209538304

234209538304 is an abundant number, since it is smaller than the sum of its proper divisors (332826771263).

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

234209538304 is an frugal number, since it uses more digits than its factorization.

234209538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 234209538304 in words is "two hundred thirty-four billion, two hundred nine million, five hundred thirty-eight thousand, three hundred four".