202434305329 has 9 divisors (see below), whose sum is σ = 205358056491. Its totient is φ = 199551623040.

The previous prime is 202434305273. The next prime is 202434305341. The reversal of 202434305329 is 923503434202.

The square root of 202434305329 is 449927.

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

It can be written as a sum of positive squares in only one way, i.e., 70700151025 + 131734154304 = 265895^2 + 362952^2 .

It is not a de Polignac number, because 202434305329 - 2⁷ = 202434305201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202434305399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31941649 + ... + 31947985.

Almost surely, 2^202434305329 is an apocalyptic number.

202434305329 is the 449927-th square number.

202434305329 is the 224964-th centered octagonal number.

It is an amenable number.

202434305329 is a deficient number, since it is larger than the sum of its proper divisors (2923751162).

202434305329 is an frugal number, since it uses more digits than its factorization.

202434305329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 202434305329 in words is "two hundred two billion, four hundred thirty-four million, three hundred five thousand, three hundred twenty-nine".