3384

3384 is a natural number that follows 3383 and precedes 3385. In mathematics, it has several notable properties. Its prime factorization is 3384 = 2^3 × 3^2 × 47, so it has 24 positive divisors. It is an abundant number because the sum of its divisors is 9360, which exceeds twice the number. It is also a Harshad (Niven) number in base 10 since 3384 is divisible by the sum of its digits (3+3+8+4 = 18). The factors 2^3 and 3^2 reveal that it is divisible by 8 and by 9, and 3384 = 8 × 9 × 47.

In various numeral systems, 3384 is represented as binary 110100111000, octal 6470, and hexadecimal 0xD38. In Roman numerals it is written as MMMDCCCLXXXIV.

Geographically or culturally, the number does not correspond to a widely recognized year, event, or code on its own. It is not a prime or a perfect square, and there is no widely noted constant or famous sequence associated with it. Its divisibility by 24 means it is a multiple of 24, illustrating its alignment with small composite factors.

As a natural number with multiple small prime factors, 3384 serves as an example of an abundant, composite integer with straightforward factorization and standard base representations.