334200420 has 72 divisors (see below), whose sum is σ = 1017112824. Its totient is φ = 88823808.

The previous prime is 334200407. The next prime is 334200463. The reversal of 334200420 is 24002433.

334200420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 300467556 = 5808^2 + 17334^2 .

It is a super-2 number, since 2×334200420² = 223379841456352800, 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 = 334200393 and 334200402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54132 + ... + 59988.

It is an arithmetic number, because the mean of its divisors is an integer number (14126567).

Almost surely, 2^334200420 is an apocalyptic number.

334200420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508556412).

334200420 is an abundant number, since it is smaller than the sum of its proper divisors (682912404).

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

334200420 is a wasteful number, since it uses less digits than its factorization.

334200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334200420 is about 18281.1493074150. The cubic root of 334200420 is about 693.9619581226.

Adding to 334200420 its reverse (24002433), we get a palindrome (358202853).

The spelling of 334200420 in words is "three hundred thirty-four million, two hundred thousand, four hundred twenty".