24304

24304 is a number that appears in various contexts across mathematics, computing, and popular culture. In mathematics, it is notable as a part of the sequence of numbers that can form a rectangle with integer side lengths and a given area. Specifically, 24304 is the smallest number that can form a rectangle with integer sides in more than one way, making it a highly composite number. It is also a member of the set of numbers known as "practical numbers," which can be expressed as the sum of a subset of their divisors.

In computing, 24304 holds significance in the context of memory addressing and data storage. It is often referenced in discussions about the maximum number of entries in a 16-bit address space, as 2^15 equals 32768, but 24304 is a notable value when considering practical limitations or specific algorithms. Additionally, it appears in certain cryptographic and hashing contexts, though its relevance is less prominent compared to other numbers in those fields.

In popular culture, 24304 has gained attention through its appearance in the 2004 film *The Day After Tomorrow*, where it is referenced as a key plot element. The number is associated with a fictional climate model used to predict extreme weather events, adding a layer of intrigue to the narrative. This reference has contributed to its recognition outside of technical fields.

Overall, 24304 is a number with diverse applications and cultural references, bridging mathematics, computing, and entertainment. Its properties make it an interesting subject for study in both academic and recreational contexts.