205301034 has 64 divisors (see below), whose sum is σ = 487296000. Its totient is φ = 63927360.

The previous prime is 205301009. The next prime is 205301053. The reversal of 205301034 is 430103502.

It is a super-2 number, since 2×205301034² = 84297029122938312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 205300998 and 205301016.

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 31 ways as a sum of consecutive naturals, for example, 46432 + ... + 50660.

It is an arithmetic number, because the mean of its divisors is an integer number (7614000).

Almost surely, 2^205301034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205301034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243648000).

205301034 is an abundant number, since it is smaller than the sum of its proper divisors (281994966).

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

205301034 is a wasteful number, since it uses less digits than its factorization.

205301034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205301034 is about 14328.3297700744. The cubic root of 205301034 is about 589.9253319277.

Adding to 205301034 its reverse (430103502), we get a palindrome (635404536).

The spelling of 205301034 in words is "two hundred five million, three hundred one thousand, thirty-four".