344230400 has 60 divisors (see below), whose sum is σ = 852889422. Its totient is φ = 137687040.

The previous prime is 344230357. The next prime is 344230427. The reversal of 344230400 is 4032443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 322849024 + 21381376 = 17968^2 + 4624^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 647 + ... + 26246.

Almost surely, 2^344230400 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 344230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426444711).

344230400 is an abundant number, since it is smaller than the sum of its proper divisors (508659022).

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

344230400 is an equidigital number, since it uses as much as digits as its factorization.

344230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26921 (or 26900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 344230400 is about 18553.4471190666. The cubic root of 344230400 is about 700.8360079634.

Adding to 344230400 its reverse (4032443), we get a palindrome (348262843).

The spelling of 344230400 in words is "three hundred forty-four million, two hundred thirty thousand, four hundred".