What does CCCLXIV mean?

CCCLXIV is the Roman numeral for 364 — 100 + 100 + 100 + 50 + 10 + 4.

How do you write 364 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: C (100), then C (100), then C (100), then L (50), then X (10), then IV (4). That gives CCCLXIV.

364 in Roman numerals

CCCLXIV

Number (1–3,999 for numerals)

Roman numeral

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

How it breaks down

CCCLXIV = 100 + 100 + 100 + 50 + 10 + 4 = 364
Group	Value	Subtraction	Running total
C	100	—	100
C	100	—	200
C	100	—	300
L	50	—	350
X	10	—	360
IV	4	V − I	364

Why the smaller symbol comes first

CCCLXIV 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 — 1×
L	50	yes — 1×
C	100	yes — 3×
D	500	no
M	1,000	no

The same number, other ways

In words: Three hundred sixty-four
Roman numeral: CCCLXIV
Symbol count: 7 characters
Binary: 101101100
Hexadecimal: 16C

The numbers either side

Number	Roman numeral
362	CCCLXII
363	CCCLXIII
364	CCCLXIV ←
365	CCCLXV
366	CCCLXVI

Common questions

What is 364 in Roman numerals?: 364 is CCCLXIV.
What does CCCLXIV mean?: CCCLXIV is the Roman numeral for 364 — 100 + 100 + 100 + 50 + 10 + 4.
How do you write 364 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: C (100), then C (100), then C (100), then L (50), then X (10), then IV (4). That gives CCCLXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked