344420000 has 120 divisors (see below), whose sum is σ = 898053156. Its totient is φ = 129536000.

The previous prime is 344419997. The next prime is 344420003. The reversal of 344420000 is 24443.

It is an interprime number because it is at equal distance from previous prime (344419997) and next prime (344420003).

It can be written as a sum of positive squares in 10 ways, for example, as 81072016 + 263347984 = 9004^2 + 16228^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (344420003) 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 19 ways as a sum of consecutive naturals, for example, 339494 + ... + 340506.

Almost surely, 2^344420000 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 344420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449026578).

344420000 is an abundant number, since it is smaller than the sum of its proper divisors (553633156).

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

344420000 is a wasteful number, since it uses less digits than its factorization.

344420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 344420000 is about 18558.5559783082. Note that the first 3 decimals coincide. The cubic root of 344420000 is about 700.9646564096.

Adding to 344420000 its reverse (24443), we get a palindrome (344444443).

The spelling of 344420000 in words is "three hundred forty-four million, four hundred twenty thousand".