338
338 is a composite number, even, a calendar year.
338 (three hundred thirty-eight) is an even 3-digit number. It is a composite number with 6 divisors, and factors as 2 × 13². Written other ways, in Roman numerals it is CCCXXXVIII and in binary, 101010010.
Interestingness
Historical context — 338 AD
Calendar year
Year 338 (CCCXXXVIII) was a common year starting on Sunday of the Julian calendar.
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Historical context — 338 BC
Calendar year
Year 338 BC was a year of the pre-Julian Roman calendar.
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Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Saturday
January 1, 338
- Ended on
-
Saturday
December 31, 338
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
330s
330–339
- Century
-
4th century
301–400
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,688
1688 years before 2026.
In other calendars
- Hebrew
-
4098 / 4099 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
881 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
330 / 331 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
260 / 259 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√338 = [18; (2, 1, 1, 2, 36)]
Period length 5 — the block in parentheses repeats forever.
Representations
- In words
- three hundred thirty-eight
- Ordinal
- 338th
- Roman numeral
- CCCXXXVIII
- Binary
- 101010010
- Octal
- 522
- Hexadecimal
- 0x152
- Base64
- AVI=
- One's complement
- 65,197 (16-bit)
- Scientific notation
- 3.38 × 10²
- As a duration
- 338 s = 5 minutes, 38 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- τληʹ
- Mayan (base 20)
- 𝋰·𝋲
- Chinese
- 三百三十八
- Chinese (financial)
- 參佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 338 = 2
- e — Euler's number (e)
- Digit 338 = 9
- φ — Golden ratio (φ)
- Digit 338 = 5
- √2 — Pythagoras's (√2)
- Digit 338 = 3
- ln 2 — Natural log of 2
- Digit 338 = 9
- γ — Euler-Mascheroni (γ)
- Digit 338 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 338, here are decompositions:
- 7 + 331 = 338
- 31 + 307 = 338
- 61 + 277 = 338
- 67 + 271 = 338
- 97 + 241 = 338
- 109 + 229 = 338
- 127 + 211 = 338
- 139 + 199 = 338
Showing the first eight; more decompositions exist.
UTF-8 encoding: C5 92 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.82.
- Address
- 0.0.1.82
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.82
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Type 338 on a seven-segment calculator, flip it 180°, and the display reads:
BEE
A staple of calculator humor since pocket calculators put digits in front of bored students.
Heard as a frequency, 338 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E4 (329.6 Hz, +43¢)
- Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, -19¢)
- Baroque pitch (A4 = 415 Hz): F4 (329.4 Hz, +45¢ — about midway to F♯4)
On an ingredients label, E338 is Phosphoric acid, an antioxidant or acidity regulator — the tang in colas.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.