340128200 has 48 divisors (see below), whose sum is σ = 792957060. Its totient is φ = 135680000.

The previous prime is 340128199. The next prime is 340128203. The reversal of 340128200 is 2821043.

It can be written as a sum of positive squares in 6 ways, for example, as 318765316 + 21362884 = 17854^2 + 4622^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (340128203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 78080 + ... + 82320.

Almost surely, 2^340128200 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 340128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396478530).

340128200 is an abundant number, since it is smaller than the sum of its proper divisors (452828860).

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

340128200 is a wasteful number, since it uses less digits than its factorization.

340128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 340128200 is about 18442.5648975407. The cubic root of 340128200 is about 698.0409168057.

Adding to 340128200 its reverse (2821043), we get a palindrome (342949243).

The spelling of 340128200 in words is "three hundred forty million, one hundred twenty-eight thousand, two hundred".