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Number

1,364

1,364 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Lucas Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1364 AD

Calendar year

Year 1364 (MCCCLXIV) was a leap year starting on Monday 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
52
Started on
Sunday
January 1, 1364
Ended on
Monday
December 31, 1364
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1360s
1360–1369
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
662
662 years before 2026.

In other calendars

Hebrew
5124 / 5125 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
765 / 766 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1907 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
742 / 743 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1356 / 1357 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1286 / 1285 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
4,631
Recamán's sequence
a(8,400) = 1,364
Square (n²)
1,860,496
Cube (n³)
2,537,716,544
Divisor count
12
σ(n) — sum of divisors
2,688
φ(n) — Euler's totient
600
Sum of prime factors
46

Primality

Prime factorization: 2 2 × 11 × 31

Nearest primes: 1,361 (−3) · 1,367 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 31 · 44 · 62 · 124 · 341 · 682 (half) · 1364
Aliquot sum (sum of proper divisors): 1,324
Factor pairs (a × b = 1,364)
1 × 1364
2 × 682
4 × 341
11 × 124
22 × 62
31 × 44
First multiples
1,364 · 2,728 (double) · 4,092 · 5,456 · 6,820 · 8,184 · 9,548 · 10,912 · 12,276 · 13,640

Sums & aliquot sequence

As consecutive integers: 167 + 168 + … + 174 119 + 120 + … + 129 29 + 30 + … + 59
Aliquot sequence: 1,364 1,324 1,000 1,340 1,516 1,144 1,376 1,396 1,054 674 340 416 466 236 184 176 196 — unresolved within range

Representations

In words
one thousand three hundred sixty-four
Ordinal
1364th
Roman numeral
MCCCLXIV
Binary
10101010100
Octal
2524
Hexadecimal
0x554
Base64
BVQ=
One's complement
64,171 (16-bit)
In other bases
ternary (3) 1212112
quaternary (4) 111110
quinary (5) 20424
senary (6) 10152
septenary (7) 3656
nonary (9) 1775
undecimal (11) 1030
duodecimal (12) 958
tridecimal (13) 80c
tetradecimal (14) 6d6
pentadecimal (15) 60e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατξδʹ
Mayan (base 20)
𝋣·𝋨·𝋤
Chinese
一千三百六十四
Chinese (financial)
壹仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٦٤ Devanagari १३६४ Bengali ১৩৬৪ Tamil ௧௩௬௪ Thai ๑๓๖๔ Tibetan ༡༣༦༤ Khmer ១៣៦៤ Lao ໑໓໖໔ Burmese ၁၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,364 = 5
e — Euler's number (e)
Digit 1,364 = 3
φ — Golden ratio (φ)
Digit 1,364 = 8
√2 — Pythagoras's (√2)
Digit 1,364 = 4
ln 2 — Natural log of 2
Digit 1,364 = 8
γ — Euler-Mascheroni (γ)
Digit 1,364 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1364, here are decompositions:

  • 3 + 1361 = 1364
  • 37 + 1327 = 1364
  • 43 + 1321 = 1364
  • 61 + 1303 = 1364
  • 67 + 1297 = 1364
  • 73 + 1291 = 1364
  • 127 + 1237 = 1364
  • 151 + 1213 = 1364

Showing the first eight; more decompositions exist.

Unicode codepoint
Ք
Armenian Capital Letter Keh
U+0554
Uppercase letter (Lu)

UTF-8 encoding: D5 94 (2 bytes).

Hex color
#000554
RGB(0, 5, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.84.

Address
0.0.5.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.84

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

Position in π

The digit sequence 1364 first appears in π at position 31,525 of the decimal expansion (the 31,525ordinal-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.