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Number

1,338

1,338 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Historical context — 1338 AD

Calendar year

Year 1338 (MCCCXXXVIII) was a common year starting on Thursday of the Julian 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
Wednesday
January 1, 1338
Ended on
Wednesday
December 31, 1338
Friday the 13ths
1
One Friday the 13th this year.
Decade
1330s
1330–1339
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
688
688 years before 2026.

In other calendars

Hebrew
5098 / 5099 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
738 / 739 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1881 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
716 / 717 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1330 / 1331 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1260 / 1259 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
8,331
Recamán's sequence
a(16,459) = 1,338
Square (n²)
1,790,244
Cube (n³)
2,395,346,472
Divisor count
8
σ(n) — sum of divisors
2,688
φ(n) — Euler's totient
444
Sum of prime factors
228

Primality

Prime factorization: 2 × 3 × 223

Nearest primes: 1,327 (−11) · 1,361 (+23)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 223 · 446 · 669 (half) · 1338
Aliquot sum (sum of proper divisors): 1,350
Factor pairs (a × b = 1,338)
1 × 1338
2 × 669
3 × 446
6 × 223
First multiples
1,338 · 2,676 (double) · 4,014 · 5,352 · 6,690 · 8,028 · 9,366 · 10,704 · 12,042 · 13,380

Sums & aliquot sequence

As consecutive integers: 445 + 446 + 447 333 + 334 + 335 + 336 106 + 107 + … + 117
Aliquot sequence: 1,338 1,350 2,370 3,390 4,818 5,838 7,602 9,870 17,778 17,790 24,978 27,438 30,882 30,894 34,386 40,782 52,530 — unresolved within range

Representations

In words
one thousand three hundred thirty-eight
Ordinal
1338th
Roman numeral
MCCCXXXVIII
Binary
10100111010
Octal
2472
Hexadecimal
0x53A
Base64
BTo=
One's complement
64,197 (16-bit)
In other bases
ternary (3) 1211120
quaternary (4) 110322
quinary (5) 20323
senary (6) 10110
septenary (7) 3621
nonary (9) 1746
undecimal (11) 1007
duodecimal (12) 936
tridecimal (13) 7bc
tetradecimal (14) 6b8
pentadecimal (15) 5e3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατληʹ
Mayan (base 20)
𝋣·𝋦·𝋲
Chinese
一千三百三十八
Chinese (financial)
壹仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٨ Devanagari १३३८ Bengali ১৩৩৮ Tamil ௧௩௩௮ Thai ๑๓๓๘ Tibetan ༡༣༣༨ Khmer ១៣៣៨ Lao ໑໓໓໘ Burmese ၁၃၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,338 = 5
e — Euler's number (e)
Digit 1,338 = 5
φ — Golden ratio (φ)
Digit 1,338 = 2
√2 — Pythagoras's (√2)
Digit 1,338 = 2
ln 2 — Natural log of 2
Digit 1,338 = 8
γ — Euler-Mascheroni (γ)
Digit 1,338 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1338, here are decompositions:

  • 11 + 1327 = 1338
  • 17 + 1321 = 1338
  • 19 + 1319 = 1338
  • 31 + 1307 = 1338
  • 37 + 1301 = 1338
  • 41 + 1297 = 1338
  • 47 + 1291 = 1338
  • 59 + 1279 = 1338

Showing the first eight; more decompositions exist.

Unicode codepoint
Ժ
Armenian Capital Letter Zhe
U+053A
Uppercase letter (Lu)

UTF-8 encoding: D4 BA (2 bytes).

Hex color
#00053A
RGB(0, 5, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.58.

Address
0.0.5.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.58

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1338 first appears in π at position 14,093 of the decimal expansion (the 14,093ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.