number.wiki

Number

338

338 is a composite number, even, a calendar year.

Deficient Number Evil Number Happy Number Recamán's Sequence Year

Historical context — 338 AD

Calendar year

Year 338 (CCCXXXVIII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 338 BC

Calendar year

Year 338 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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

Parity: Even
Digit count: 3
Digit sum: 14
Digit product: 72
Digital root: 5
Palindrome: No
Bit width: 9 bits
Reversed: 833
Recamán's sequence: a(572) = 338
Square (n²): 114,244
Cube (n³): 38,614,472
Divisor count: 6
σ(n) — sum of divisors: 549
φ(n) — Euler's totient: 156
Sum of prime factors: 28

Primality

Prime factorization: 2 × 13 ²

Nearest primes: 337 (−1) · 347 (+9)

Divisors & multiples

All divisors (6)

1 · 2 · 13 · 26 · 169 (half) · 338

Aliquot sum (sum of proper divisors): 211

Factor pairs (a × b = 338)

1 × 338

2 × 169

13 × 26

First multiples

338 · 676 (double) · 1,014 · 1,352 · 1,690 · 2,028 · 2,366 · 2,704 · 3,042 · 3,380

Sums & aliquot sequence

As a sum of two squares: 7² + 17² = 13² + 13²

As consecutive integers: 83 + 84 + 85 + 86 20 + 21 + … + 32

Aliquot sequence: 338 → 211 → 1 → 0 — terminates at zero

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)

In other bases

ternary (3) 110112

quaternary (4) 11102

quinary (5) 2323

senary (6) 1322

septenary (7) 662

nonary (9) 415

undecimal (11) 288

duodecimal (12) 242

tridecimal (13) 200

tetradecimal (14) 1a2

pentadecimal (15) 178

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

In other modern scripts

Eastern Arabic ٣٣٨ Devanagari ३३८ Bengali ৩৩৮ Tamil ௩௩௮ Thai ๓๓๘ Tibetan ༣༣༨ Khmer ៣៣៨ Lao ໓໓໘ Burmese ၃၃၈

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 decomposition

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.

Unicode codepoint

Œ

Latin Capital Ligature Oe

U+0152

Uppercase letter (Lu)

UTF-8 encoding: C5 92 (2 bytes).

Lookup U+0152 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000152

RGB(0, 1, 82)

IPv4 address

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.

Calculator-display word

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.