What does CCCXXIV mean?

CCCXXIV is the Roman numeral for 324 — 100 + 100 + 100 + 10 + 10 + 4.

How do you write 324 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: C (100), then C (100), then C (100), then X (10), then X (10), then IV (4). That gives CCCXXIV.

324 in Roman numerals

CCCXXIV

Number (1–3,999 for numerals)

Roman numeral

324 is written CCCXXIV in Roman numerals. That is 6 symbol groups added together, reading left to right from the largest value down.

How it breaks down

CCCXXIV = 100 + 100 + 100 + 10 + 10 + 4 = 324
Group	Value	Subtraction	Running total
C	100	—	100
C	100	—	200
C	100	—	300
X	10	—	310
X	10	—	320
IV	4	V − I	324

Why the smaller symbol comes first

CCCXXIV uses subtractive notation in one place: IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	yes — 1×
X	10	yes — 2×
L	50	no
C	100	yes — 3×
D	500	no
M	1,000	no

The same number, other ways

In words: Three hundred twenty-four
Roman numeral: CCCXXIV
Symbol count: 7 characters
Binary: 101000100
Hexadecimal: 144

The numbers either side

Number	Roman numeral
322	CCCXXII
323	CCCXXIII
324	CCCXXIV ←
325	CCCXXV
326	CCCXXVI

Common questions

What is 324 in Roman numerals?: 324 is CCCXXIV.
What does CCCXXIV mean?: CCCXXIV is the Roman numeral for 324 — 100 + 100 + 100 + 10 + 10 + 4.
How do you write 324 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: C (100), then C (100), then C (100), then X (10), then X (10), then IV (4). That gives CCCXXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked