34000

34000 is the natural number that follows 33999 and precedes 34001. In decimal notation it ends with three zeros, indicating that it is a multiple of 1000 and, more generally, of 10^3. It is an even integer and is therefore divisible by 2.

In number-theoretic terms, 34000 has the prime factorization 2^4 × 5^3 × 17. This factorization implies it has 40 positive divisors (since the divisor count is (4+1)(3+1)(1+1)). The sum of all positive divisors is 87,048, so the sum of proper divisors is 53,048. Because the sum of its proper divisors exceeds the number itself, 34000 is classified as an abundant number.

Representations of 34000 in other bases include binary 1000010011010000 and hexadecimal 0x84D0. In scientific notation it is written as 3.4 × 10^4.

As a round, highly composite-like figure, 34000 appears in practical contexts as a convenient scale in estimates, budgeting, and planning. It also corresponds to 34 kilometers when expressed as a distance in meters, illustrating how large round numbers around tens of thousands frequently serve as convenient benchmarks in geography, statistics, and everyday calculations.

Overall, 34000 is a composite, abundant integer with straightforward base representations and common use as a rounded numerical scale in various applications.