334402000 has 80 divisors (see below), whose sum is σ = 822139344. Its totient is φ = 131520000.

The previous prime is 334401989. The next prime is 334402007. The reversal of 334402000 is 204433.

It can be written as a sum of positive squares in 8 ways, for example, as 240622144 + 93779856 = 15512^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×334402000² = 223649395208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334402007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120630 + ... + 123370.

Almost surely, 2^334402000 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 334402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411069672).

334402000 is an abundant number, since it is smaller than the sum of its proper divisors (487737344).

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

334402000 is a wasteful number, since it uses less digits than its factorization.

334402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 334402000 is about 18286.6618058081. The cubic root of 334402000 is about 694.1014559877.

Adding to 334402000 its reverse (204433), we get a palindrome (334606433).

The spelling of 334402000 in words is "three hundred thirty-four million, four hundred two thousand".