20434100 has 36 divisors (see below), whose sum is σ = 44583084. Its totient is φ = 8129280.

The previous prime is 20434093. The next prime is 20434109. The reversal of 20434100 is 143402.

It can be written as a sum of positive squares in 6 ways, for example, as 256036 + 20178064 = 506^2 + 4492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22862 + ... + 23738.

It is an arithmetic number, because the mean of its divisors is an integer number (1238419).

Almost surely, 2^20434100 is an apocalyptic number.

20434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434100 is an abundant number, since it is smaller than the sum of its proper divisors (24148984).

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

20434100 is a wasteful number, since it uses less digits than its factorization.

20434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20434100 is about 4520.4092735061. The cubic root of 20434100 is about 273.3916030176.

Adding to 20434100 its reverse (143402), we get a palindrome (20577502).

The spelling of 20434100 in words is "twenty million, four hundred thirty-four thousand, one hundred".