3840000

The number 3,840,000 is a composite integer that appears in various mathematical, scientific, and real-world contexts. It is the product of several prime factors, specifically 2^10 multiplied by 3^3, or 1024 × 27, making it a highly composite number. This means it has more divisors than any smaller positive integer, with a total of 48 divisors, including 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 162, 192, 216, 243, 288, 324, 384, 432, 486, 576, 648, 768, 972, 1152, 1296, 1536, 1944, 2304, 2592, 3072, 3888, 4608, 5184, 7776, 9216, 11520, 12960, 15552, 19440, 23040, 38880, 77760, 115200, 155520, 388800, and 3,840,000 itself.

In astronomy, 3,840,000 kilometers is approximately the average distance between the Earth and the Moon, known as one lunar distance (LD). This measurement is often used in space navigation and orbital mechanics to describe the relative positions of Earth-orbiting satellites and lunar bodies.

In computing, 3,840,000 is occasionally referenced in contexts involving large datasets or memory allocations, particularly when discussing storage capacities or processing limits. For example, it represents 3.84 megabytes when expressed in binary terms (3.84 × 2^20 bytes), though this is less common than decimal-based measurements.

Additionally, 3,840,000 seconds is equivalent to approximately 44.5 days, a fact sometimes used in timekeeping or scheduling calculations. The number also appears in historical and cultural contexts, such as population estimates or large-scale production figures, reflecting its significance in quantifying substantial quantities.