Numberwise

1368

1368 is the year the Ming dynasty was founded.

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Where 1368 fits

Where 1368 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1279.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers12791368
1368 connects to 3 worlds: mathematics, history, related numbers.

Why 1368 is special

Its founder was born a peasant and had been a monk and a beggar. The Ming built the Forbidden City, sent Zheng He's fleets, and then turned inward.

1368 is part of

Factors & digit properties

Divisors (24)
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
Prime factorisation
2^3 × 3^2 × 19
Digit sum
18
Digital root
9

Representations

Decimal
1368
Scientific notation
1.368 × 10^3

Roman numerals

M C C C L X V I I I

Binary

1 0 1 0 1 0 1 1 0 0 0

1 × 1,024 + 0 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,368

Octal

2 5 3 0

2 × 512 + 5 × 64 + 3 × 8 + 0 × 1 = 1,368

Hexadecimal

5 5 8

5 × 256 + 5 × 16 + 8 × 1 = 1,368

Read as powers of two: 1,024 + 256 + 64 + 16 + 8 = 1,368.

In historical numeral systems

Egyptian

1 lotus, 3 coils of rope, 6 hobbles, 8 strokes

1 × 1,000 + 3 × 100 + 6 × 10 + 8 × 1 = 1,368. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 2 vertical wedges (sixties place), 4 corner wedges + 8 vertical wedges (units place)

22 × 60 + 48 = 1368. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1368 is a year in the 14th century, in the 1360s.

1368 is a year in the 14th century, in the 1360s.

Connection
The Song fell to the Mongols in 1279 and the Ming expelled them in 1368, restoring native rule after eighty-nine years.

The Song fell to the Mongols in 1279 and the Ming expelled them in 1368, restoring native rule after eighty-nine years.

View 1279

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1279
    why?

    Strength 0.50, confidence "high".

How is 1368 connected to another number? →

History

  • In 1368, the Ming dynasty was founded and the Mongols were driven out of China (China).

    DocumentedHistoryGeography: ChinaPeriod: 1368
  • Zhu Yuanzhang rose from destitution to found the Ming in 1368, one of very few founders of a major dynasty with no aristocratic origin. The dynasty lasted 276 years.

    DocumentedHistoryGeography: ChinaPeriod: 1368–1644

Common questions

Is 1368 a prime number?

No, 1368 is not prime.

What are the factors of 1368?

The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368.

What is 1368 in Roman numerals?

1368 in Roman numerals is MCCCLXVIII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026