Number

1,344

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

1,344 (one thousand three hundred forty-four) is an even 4-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 7. Its proper divisors sum to 2,720, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXLIV and in binary, 10101000000.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,332 1,333 1,334 1,335 1,336 1,337 1,338 1,339 1,340 1,341 1,342 1,343 1,344 1,345 1,346 1,347 1,348 1,349 1,350 1,351 1,352 1,353 1,354 1,355 1,356

less more

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 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

Continued fraction of √n

√1,344 = [36; (1, 1, 1, 17, 1, 1, 1, 72)]

Period length 8 — the block in parentheses repeats forever.

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)
Scientific notation: 1.344 × 10³
As a duration: 1,344 s = 22 minutes, 24 seconds

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

As an angle

1,344° = 3 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

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

Armenian Capital Letter Ho

U+0540

Uppercase letter (Lu)

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

Lookup U+0540 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,344 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -29¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +34¢)

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.

Look up 1344 on Pi Search ↗