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Number

1,348

1,348 is a composite number, even, a calendar year.

Ascending Digits Deficient Number Evil Number Recamán's Sequence Year

Historical context — 1348 AD

Calendar year

Year 1348 (MCCCXLVIII) was a leap year starting on Tuesday of the Julian calendar, the 1348th year of the Common Era (CE) and Anno Domini (AD) designations, the 348th year of the 2nd millennium, the 48th year of the 14th century, and the 9th and penultimate year of the 1340s d…

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Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1348
Ended on
Tuesday
December 31, 1348
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1340s
1340–1349
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
678
678 years before 2026.

In other calendars

Hebrew
5108 / 5109 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
748 / 749 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1891 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
726 / 727 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1340 / 1341 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1270 / 1269 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
8,431
Recamán's sequence
a(16,439) = 1,348
Square (n²)
1,817,104
Cube (n³)
2,449,456,192
Divisor count
6
σ(n) — sum of divisors
2,366
φ(n) — Euler's totient
672
Sum of prime factors
341

Primality

Prime factorization: 2 2 × 337

Nearest primes: 1,327 (−21) · 1,361 (+13)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 337 · 674 (half) · 1348
Aliquot sum (sum of proper divisors): 1,018
Factor pairs (a × b = 1,348)
1 × 1348
2 × 674
4 × 337
First multiples
1,348 · 2,696 (double) · 4,044 · 5,392 · 6,740 · 8,088 · 9,436 · 10,784 · 12,132 · 13,480

Sums & aliquot sequence

As a sum of two squares: 18² + 32²
As consecutive integers: 165 + 166 + … + 172
Aliquot sequence: 1,348 1,018 512 511 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand three hundred forty-eight
Ordinal
1348th
Roman numeral
MCCCXLVIII
Binary
10101000100
Octal
2504
Hexadecimal
0x544
Base64
BUQ=
One's complement
64,187 (16-bit)
In other bases
ternary (3) 1211221
quaternary (4) 111010
quinary (5) 20343
senary (6) 10124
septenary (7) 3634
nonary (9) 1757
undecimal (11) 1016
duodecimal (12) 944
tridecimal (13) 7c9
tetradecimal (14) 6c4
pentadecimal (15) 5ed

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατμηʹ
Mayan (base 20)
𝋣·𝋧·𝋨
Chinese
一千三百四十八
Chinese (financial)
壹仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٤٨ Devanagari १३४८ Bengali ১৩৪৮ Tamil ௧௩௪௮ Thai ๑๓๔๘ Tibetan ༡༣༤༨ Khmer ១៣៤៨ Lao ໑໓໔໘ Burmese ၁၃၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,348 = 3
e — Euler's number (e)
Digit 1,348 = 2
φ — Golden ratio (φ)
Digit 1,348 = 9
√2 — Pythagoras's (√2)
Digit 1,348 = 2
ln 2 — Natural log of 2
Digit 1,348 = 3
γ — Euler-Mascheroni (γ)
Digit 1,348 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1348, here are decompositions:

  • 29 + 1319 = 1348
  • 41 + 1307 = 1348
  • 47 + 1301 = 1348
  • 59 + 1289 = 1348
  • 71 + 1277 = 1348
  • 89 + 1259 = 1348
  • 131 + 1217 = 1348
  • 167 + 1181 = 1348

Showing the first eight; more decompositions exist.

Unicode codepoint
Մ
Armenian Capital Letter Men
U+0544
Uppercase letter (Lu)

UTF-8 encoding: D5 84 (2 bytes).

Hex color
#000544
RGB(0, 5, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.68.

Address
0.0.5.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.68

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

Position in π

The digit sequence 1348 first appears in π at position 17,773 of the decimal expansion (the 17,773ordinal-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.