434022100 has 36 divisors (see below), whose sum is σ = 948181500. Its totient is φ = 172437760.

The previous prime is 434021993. The next prime is 434022107. The reversal of 434022100 is 1220434.

It can be written as a sum of positive squares in 6 ways, for example, as 95609284 + 338412816 = 9778^2 + 18396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434022107) 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 11 ways as a sum of consecutive naturals, for example, 336 + ... + 29464.

It is an arithmetic number, because the mean of its divisors is an integer number (26338375).

Almost surely, 2^434022100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474090750).

434022100 is an abundant number, since it is smaller than the sum of its proper divisors (514159400).

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

434022100 is a wasteful number, since it uses less digits than its factorization.

434022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29292 (or 29285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 434022100 is about 20833.1970662210. The cubic root of 434022100 is about 757.1302788261.

Adding to 434022100 its reverse (1220434), we get a palindrome (435242534).

The spelling of 434022100 in words is "four hundred thirty-four million, twenty-two thousand, one hundred".