344050420 has 96 divisors (see below), whose sum is σ = 898152192. Its totient is φ = 107993088.

The previous prime is 344050397. The next prime is 344050477. The reversal of 344050420 is 24050443.

344050420 = 1641² + 1642² + ... + 1759².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344050391 and 344050400.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86107 + ... + 90013.

It is an arithmetic number, because the mean of its divisors is an integer number (9355752).

Almost surely, 2^344050420 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 344050420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449076096).

344050420 is an abundant number, since it is smaller than the sum of its proper divisors (554101772).

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

344050420 is a wasteful number, since it uses less digits than its factorization.

344050420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 344050420 is about 18548.5961732957. The cubic root of 344050420 is about 700.7138432209.

The spelling of 344050420 in words is "three hundred forty-four million, fifty thousand, four hundred twenty".