1074

1074 (one thousand seventy-four) is a natural number that comes after 1073 and before 1075. It is even and composite, with prime factorization 2 × 3 × 179. The number is squarefree, having three distinct prime factors, and it has eight positive divisors: 1, 2, 3, 6, 179, 358, 537, and 1074. It is divisible by 6 but not by 4, 5, 7, 8, 9, or 11. In arithmetic terms, its Euler totient is φ(1074) = 356, and the sum of its positive divisors is σ(1074) = 2160.

In various representations, 1074 can be written as binary 10000110010, hexadecimal 0x432, and in Roman numerals as MLXXIV.

As a year, 1074 CE falls within the 11th century, during the High Middle Ages. The period was characterized by ongoing religious and political developments across Europe and frontier conflicts in the eastern Mediterranean and Near East. Calendar systems in use at the time were Julian, with the Gregorian reform centuries away. Historical records for the year 1074 vary by region, and many events from that era are known only from local or fragmentary sources.

Overall, 1074 is primarily noted for its mathematical properties as a product of small primes and its straightforward numerical representations, while its designation as a year places it in the broader context of medieval history.