206305434 has 64 divisors (see below), whose sum is σ = 476098560. Its totient is φ = 66150000.

The previous prime is 206305433. The next prime is 206305459. The reversal of 206305434 is 434503602.

206305434 is a `hidden beast` number, since 20 + 630 + 5 + 4 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206305398 and 206305407.

It is not an unprimeable number, because it can be changed into a prime (206305433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419929 + ... + 420419.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^206305434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206305434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238049280).

206305434 is an abundant number, since it is smaller than the sum of its proper divisors (269793126).

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

206305434 is a wasteful number, since it uses less digits than its factorization.

206305434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 206305434 is about 14363.3364508390. The cubic root of 206305434 is about 590.8858033885.

The spelling of 206305434 in words is "two hundred six million, three hundred five thousand, four hundred thirty-four".