438 in Roman Numerals

438

C (subtracted)DXXXVIII

four hundred thirty-eight

How CDXXXVIII is formed

PlaceValueSymbols
Hundreds400C (subtracted)D
Tens30XXX
Units8VIII
Total438CDXXXVIII

CDXXXVIII is written one place at a time, from the largest to the smallest: CD (400) + XXX (30) + VIII (8) = 438.

CD is the only subtraction: the C before the D takes away 100, so CD = 400.

Common mistakes

Wrong: CCCCXXXVIII

Why isn't 438 written as CCCCXXXVIII?

A symbol can't be repeated four times in a row. 400 is CD (500 − 100), not CCCC, so 438 is CDXXXVIII.

Wrong: CDXXXIIX

Why isn't 438 written as CDXXXIIX?

Only one smaller symbol can stand before a larger one, so IIX doesn't work. 8 is VIII (5 + 3), so 438 is CDXXXVIII.

Numbers near 438

Properties of 438

Prime factors
2 × 3 × 73
Divisors
1, 2, 3, 6, 73, 146, 219, 438
Even or odd
Even
Prime number
No
Letters in CDXXXVIII
9

438,000 in Roman numerals

With a bar over it (vinculum), C̅D̅X̅X̅X̅V̅I̅I̅I̅ means 438 × 1,000 = 438,000. How Roman numerals work

Keep going