300330

300330 is a natural number that lies between 300329 and 300331. In mathematics, it is primarily noted for its factorization and divisor structure rather than any particular widely known constant or sequence.

Prime factorization and divisors: 300330 factors into 2 × 3^2 × 5 × 47 × 71. This gives 48 positive divisors. The divisor set is symmetric around sqrt(300330), illustrating standard divisor properties of numbers with several distinct prime factors.

Abundance and sums: The sum of all divisors is σ(300330) = 808,704, so the sum of proper divisors is 508,374. Because the sum of proper divisors exceeds the number itself, 300330 is an abundant number.

Divisibility and modular properties: The factorization includes 2 and 5, so 300330 is divisible by 10. It is also divisible by 9 (since the digit sum is 9) and hence by 18, 30, and 90, among other products of its prime factors.

Context and usage: As a concrete integer, 300330 is used in examples illustrating divisor theory and factorization. It does not correspond to a widely recognized constant or entity, but its prime-factor composition makes it a useful case study for teaching several number-theory concepts.