968

968 is a natural number that follows 967 and precedes 969. It is even and composite, with prime factorization 2^3 × 11^2. Its positive divisors are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, and 968. As a result, 968 has 12 divisors in total.

In common base representations, 968 is written as 1111001000 in binary, 1710 in octal, and 3C8 in hexadecimal. In Roman numerals it is CMLXVIII.

Mathematically, 968 can be expressed as 8 × 121 or 11 × 88. It is also equal to 22^2 + 22^2, illustrating it as a sum of two equal squares. The square of 968 is 937,024.

As a year, 968 CE falls in the 10th century, a period marked by various political and cultural developments across different regions in the medieval world. In purely numerical terms, 968 is not prime and fits into the broader patterns of even composite numbers with multiple factor pairs.

In summary, 968 is an even, composite integer with a straightforward factorization, multiple base representations, and several simple arithmetic properties. It serves as a useful example of how a single number can be described from multiple mathematical perspectives while also being placed in a historical year context.