344250000 has 350 divisors, whose sum is σ = 1318694058. Its totient is φ = 86400000.

The previous prime is 344249989. The next prime is 344250001. The reversal of 344250000 is 52443.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 339738624 + 4511376 = 18432^2 + 2124^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (344250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 20249992 + ... + 20250008.

Almost surely, 2^344250000 is an apocalyptic number.

344250000 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 344250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659347029).

344250000 is an abundant number, since it is smaller than the sum of its proper divisors (974444058).

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

344250000 is an frugal number, since it uses more digits than its factorization.

344250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 344250000 is about 18553.9753152795. The cubic root of 344250000 is about 700.8493092533.

The spelling of 344250000 in words is "three hundred forty-four million, two hundred fifty thousand".