334444000 has 144 divisors (see below), whose sum is σ = 904529808. Its totient is φ = 121440000.

The previous prime is 334443997. The next prime is 334444001. The reversal of 334444000 is 444433.

It is a happy number.

It is a super-2 number, since 2×334444000² = 223705578272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334444001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483655 + ... + 484345.

It is an arithmetic number, because the mean of its divisors is an integer number (6281457).

Almost surely, 2^334444000 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 334444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452264904).

334444000 is an abundant number, since it is smaller than the sum of its proper divisors (570085808).

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

334444000 is a wasteful number, since it uses less digits than its factorization.

334444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 334444000 is about 18287.8101477460. The cubic root of 334444000 is about 694.1305138689.

Adding to 334444000 its reverse (444433), we get a palindrome (334888433).

The spelling of 334444000 in words is "three hundred thirty-four million, four hundred forty-four thousand".