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Number

1,264

1,264 is a composite number, even, a calendar year.

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

Historical context — 1264 AD

Calendar year

Year 1264 (MCCLXIV) was a leap year starting on Tuesday 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
Tuesday
January 1, 1264
Ended on
Wednesday
December 31, 1264
Friday the 13ths
1
One Friday the 13th this year.
Decade
1260s
1260–1269
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
762
762 years before 2026.

In other calendars

Hebrew
5024 / 5025 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
662 / 663 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1807 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
642 / 643 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1256 / 1257 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1186 / 1185 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
48
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
4,621
Recamán's sequence
a(8,460) = 1,264
Square (n²)
1,597,696
Cube (n³)
2,019,487,744
Divisor count
10
σ(n) — sum of divisors
2,480
φ(n) — Euler's totient
624
Sum of prime factors
87

Primality

Prime factorization: 2 4 × 79

Nearest primes: 1,259 (−5) · 1,277 (+13)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 79 · 158 · 316 · 632 (half) · 1264
Aliquot sum (sum of proper divisors): 1,216
Factor pairs (a × b = 1,264)
1 × 1264
2 × 632
4 × 316
8 × 158
16 × 79
First multiples
1,264 · 2,528 (double) · 3,792 · 5,056 · 6,320 · 7,584 · 8,848 · 10,112 · 11,376 · 12,640

Sums & aliquot sequence

As consecutive integers: 24 + 25 + … + 55
Aliquot sequence: 1,264 1,216 1,324 1,000 1,340 1,516 1,144 1,376 1,396 1,054 674 340 416 466 236 184 176 — unresolved within range

Representations

In words
one thousand two hundred sixty-four
Ordinal
1264th
Roman numeral
MCCLXIV
Binary
10011110000
Octal
2360
Hexadecimal
0x4F0
Base64
BPA=
One's complement
64,271 (16-bit)
In other bases
ternary (3) 1201211
quaternary (4) 103300
quinary (5) 20024
senary (6) 5504
septenary (7) 3454
nonary (9) 1654
undecimal (11) a4a
duodecimal (12) 894
tridecimal (13) 763
tetradecimal (14) 664
pentadecimal (15) 594

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασξδʹ
Mayan (base 20)
𝋣·𝋣·𝋤
Chinese
一千二百六十四
Chinese (financial)
壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٦٤ Devanagari १२६४ Bengali ১২৬৪ Tamil ௧௨௬௪ Thai ๑๒๖๔ Tibetan ༡༢༦༤ Khmer ១២៦៤ Lao ໑໒໖໔ Burmese ၁၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,264 = 4
e — Euler's number (e)
Digit 1,264 = 2
φ — Golden ratio (φ)
Digit 1,264 = 9
√2 — Pythagoras's (√2)
Digit 1,264 = 8
ln 2 — Natural log of 2
Digit 1,264 = 8
γ — Euler-Mascheroni (γ)
Digit 1,264 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1264, here are decompositions:

  • 5 + 1259 = 1264
  • 41 + 1223 = 1264
  • 47 + 1217 = 1264
  • 71 + 1193 = 1264
  • 83 + 1181 = 1264
  • 101 + 1163 = 1264
  • 113 + 1151 = 1264
  • 167 + 1097 = 1264

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӱ
Cyrillic Capital Letter U With Diaeresis
U+04F0
Uppercase letter (Lu)

UTF-8 encoding: D3 B0 (2 bytes).

Hex color
#0004F0
RGB(0, 4, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.240.

Address
0.0.4.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.240

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

Position in π

The digit sequence 1264 first appears in π at position 9,900 of the decimal expansion (the 9,900ordinal-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.