334141000 has 64 divisors (see below), whose sum is σ = 789076080. Its totient is φ = 132428800.

The previous prime is 334140953. The next prime is 334141037. The reversal of 334141000 is 141433.

It can be written as a sum of positive squares in 8 ways, for example, as 32285124 + 301855876 = 5682^2 + 17374^2 .

It is a super-2 number, since 2×334141000² = 223300415762000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111522 + ... + 114478.

Almost surely, 2^334141000 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 334141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394538040).

334141000 is an abundant number, since it is smaller than the sum of its proper divisors (454935080).

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

334141000 is a wasteful number, since it uses less digits than its factorization.

334141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 334141000 is about 18279.5240638262. The cubic root of 334141000 is about 693.9208274505.

Adding to 334141000 its reverse (141433), we get a palindrome (334282433).

The spelling of 334141000 in words is "three hundred thirty-four million, one hundred forty-one thousand".