1350 can refer either to the integer that follows 1349 or to the calendar year in the middle of the 14th century. As a number it is an even, composite integer with a range of elementary arithmetic properties. As a year, 1350 sits within a period of major social, economic, and cultural change in Europe and beyond, dominated by the aftermath of the pandemic known as the Black Death and ongoing medieval conflicts.

Mathematical characteristics

In arithmetic, 1350 factors as 2 × 3^3 × 5^2. From this factorization one derives: a total of 24 positive divisors, a sum-of-divisors value of 3,720, and a proper-divisor sum of 2,370, which makes 1350 an abundant number (the proper divisors sum to more than the number itself). In Roman numerals 1350 is written as MCCCL. The number is divisible by 2, 3, 5, 9, 10, 25, 50 and other combinations implied by its prime powers, and it qualifies as a Harshad (Niven) number in base 10 because it is divisible by the sum of its digits.

Notable arithmetic facts (quick list)

  • Prime factorization: 2 × 3^3 × 5^2
  • Number of positive divisors: 24
  • Sum of divisors: 3,720; proper-divisors sum: 2,370 (abundant)
  • Roman numeral: MCCCL; even and composite; divisible by 9 and 25

Historical context: the year 1350

The year 1350 falls during a turbulent era. Europe and parts of Asia and Africa were still coping with the demographic, economic, and social effects of the mid-14th century pandemic often called the Black Death (roughly 1347–1351). That crisis reduced populations, disrupted labour systems, and accelerated long-term changes in land use, wages, and governance. Politically, the period was marked by recurring armed conflicts such as the Hundred Years' War between England and France and by shifting alliances among regional powers.

In cultural terms, the mid-14th century saw developments in vernacular literature and urban artistic patronage. Works written in local languages gained prominence alongside Latin scholarship, reflecting broader shifts in education, record-keeping, and public life after the demographic shocks of the century.

Distinctions and uses

Beyond pure mathematics and chronology, the figure 1350 appears in various practical contexts: as a year marker in historical studies, as an amount in finance or measurement, or as a time notation (13:50 for 24-hour clock). Its arithmetic features—factorization and divisor structure—make it a simple instructive example in elementary number theory and teaching exercises on divisibility, abundant numbers, and divisor functions.