205243434 has 96 divisors (see below), whose sum is σ = 517233600. Its totient is φ = 58164480.

The previous prime is 205243393. The next prime is 205243481. The reversal of 205243434 is 434342502.

205243434 is a `hidden beast` number, since 205 + 24 + 3 + 434 = 666.

It is a super-2 number, since 2×205243434² = 84249734400224712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205243398 and 205243407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334512 + ... + 335124.

It is an arithmetic number, because the mean of its divisors is an integer number (5387850).

Almost surely, 2^205243434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205243434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258616800).

205243434 is an abundant number, since it is smaller than the sum of its proper divisors (311990166).

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

205243434 is a wasteful number, since it uses less digits than its factorization.

205243434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 205243434 is about 14326.3196250817. The cubic root of 205243434 is about 589.8701562396.

Adding to 205243434 its reverse (434342502), we get a palindrome (639585936).

The spelling of 205243434 in words is "two hundred five million, two hundred forty-three thousand, four hundred thirty-four".