3564

3564 is a positive integer that is even and composite. Its prime factorization is 2^2 × 3^4 × 11, which confirms it has 30 positive divisors. The number is divisible by 3, 9, and 11, and therefore by 18 as well (3564 ÷ 18 = 198). As a decimal, its digits sum to 18, reflecting its divisibility by 9 and 3. It can be expressed in alternative factor pairs, for example as 81 × 44 or 36 × 99.

In other representations, 3564 has several noteworthy forms. In Roman numerals it is MMMDLXIV. In binary it is 110111101100, and in hexadecimal it is 0x0DEC. In base-12 notation it equals 2090_12.

There are 30 positive divisors of 3564; examples include 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, and 3564 itself.

Context and usage: In mathematics, 3564 is often cited as an example of a number with a rich factor structure and as a Harshad (Niven) number in base 10, since it is divisible by the sum of its digits (18). It also serves as a practical case for illustrating base conversions, divisibility rules, and factorization in educational materials.