334890000 has 225 divisors, whose sum is σ = 1190672769. Its totient is φ = 87840000.

The previous prime is 334889921. The next prime is 334890011. The reversal of 334890000 is 98433.

The square root of 334890000 is 18300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 331385616 + 3504384 = 18204^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×334890000² = 224302624200000000, which contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 5489970 + ... + 5490030.

Almost surely, 2^334890000 is an apocalyptic number.

334890000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334890000 is the 18300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334890000

334890000 is an abundant number, since it is smaller than the sum of its proper divisors (855782769).

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

334890000 is an equidigital number, since it uses as much as digits as its factorization.

334890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 334890000 is about 694.4389309192.

The spelling of 334890000 in words is "three hundred thirty-four million, eight hundred ninety thousand".