number.wiki
Number

1,344

1,344 is a composite number, even, a calendar year.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Historical context — 1344 AD

Calendar year

Year 1344 (MCCCXLIV) was a leap year starting on Thursday of the Julian calendar.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1344
Ended on
Thursday
December 31, 1344
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
682
682 years before 2026.

In other calendars

Hebrew
5104 / 5105 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
744 / 745 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1887 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
722 / 723 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1336 / 1337 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1266 / 1265 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
4,431
Recamán's sequence
a(16,447) = 1,344
Square (n²)
1,806,336
Cube (n³)
2,427,715,584
Divisor count
28
σ(n) — sum of divisors
4,064
φ(n) — Euler's totient
384
Sum of prime factors
22

Primality

Prime factorization: 2 6 × 3 × 7

Nearest primes: 1,327 (−17) · 1,361 (+17)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 64 · 84 · 96 · 112 · 168 · 192 · 224 · 336 · 448 · 672 (half) · 1344
Aliquot sum (sum of proper divisors): 2,720
Factor pairs (a × b = 1,344)
1 × 1344
2 × 672
3 × 448
4 × 336
6 × 224
7 × 192
8 × 168
12 × 112
14 × 96
16 × 84
21 × 64
24 × 56
28 × 48
32 × 42
First multiples
1,344 · 2,688 (double) · 4,032 · 5,376 · 6,720 · 8,064 · 9,408 · 10,752 · 12,096 · 13,440

Sums & aliquot sequence

As consecutive integers: 447 + 448 + 449 189 + 190 + … + 195 54 + 55 + … + 74
Aliquot sequence: 1,344 2,720 4,084 3,070 2,474 1,240 1,640 2,140 2,396 1,804 1,724 1,300 1,738 1,142 574 434 334 — unresolved within range

Representations

In words
one thousand three hundred forty-four
Ordinal
1344th
Roman numeral
MCCCXLIV
Binary
10101000000
Octal
2500
Hexadecimal
0x540
Base64
BUA=
One's complement
64,191 (16-bit)
In other bases
ternary (3) 1211210
quaternary (4) 111000
quinary (5) 20334
senary (6) 10120
septenary (7) 3630
nonary (9) 1753
undecimal (11) 1012
duodecimal (12) 940
tridecimal (13) 7c5
tetradecimal (14) 6c0
pentadecimal (15) 5e9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατμδʹ
Mayan (base 20)
𝋣·𝋧·𝋤
Chinese
一千三百四十四
Chinese (financial)
壹仟參佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٤٤ Devanagari १३४४ Bengali ১৩৪৪ Tamil ௧௩௪௪ Thai ๑๓๔๔ Tibetan ༡༣༤༤ Khmer ១៣៤៤ Lao ໑໓໔໔ Burmese ၁၃၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,344 = 5
e — Euler's number (e)
Digit 1,344 = 6
φ — Golden ratio (φ)
Digit 1,344 = 8
√2 — Pythagoras's (√2)
Digit 1,344 = 2
ln 2 — Natural log of 2
Digit 1,344 = 2
γ — Euler-Mascheroni (γ)
Digit 1,344 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1344, here are decompositions:

  • 17 + 1327 = 1344
  • 23 + 1321 = 1344
  • 37 + 1307 = 1344
  • 41 + 1303 = 1344
  • 43 + 1301 = 1344
  • 47 + 1297 = 1344
  • 53 + 1291 = 1344
  • 61 + 1283 = 1344

Showing the first eight; more decompositions exist.

Unicode codepoint
Հ
Armenian Capital Letter Ho
U+0540
Uppercase letter (Lu)

UTF-8 encoding: D5 80 (2 bytes).

Hex color
#000540
RGB(0, 5, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.64.

Address
0.0.5.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.64

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

Position in π

The digit sequence 1344 first appears in π at position 4,213 of the decimal expansion (the 4,213ordinal-suffix:th 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.