Number

1,134

1,134 is a composite number, even, a calendar year.

1,134 (one thousand one hundred thirty-four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 7. Its proper divisors sum to 1,770, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXXXIV and in binary, 10001101110.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,122 1,123 1,124 1,125 1,126 1,127 1,128 1,129 1,130 1,131 1,132 1,133 1,134 1,135 1,136 1,137 1,138 1,139 1,140 1,141 1,142 1,143 1,144 1,145 1,146

less more

Historical context — 1134 AD

Calendar year

Year 1134 (MCXXXIV) was a common year starting on Monday of the Julian calendar.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Monday
January 1, 1134
Ended on: Monday
December 31, 1134
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1130s
1130–1139
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 892
892 years before 2026.

In other calendars

Hebrew: 4894 / 4895 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 528 / 529 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1677 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 512 / 513 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1126 / 1127 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1056 / 1055 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 4,311
Recamán's sequence: a(1,904) = 1,134
Square (n²): 1,285,956
Cube (n³): 1,458,274,104
Divisor count: 20
σ(n) — sum of divisors: 2,904
φ(n) — Euler's totient: 324
Sum of prime factors: 21

Primality

Prime factorization: 2 × 3 ⁴ × 7

Nearest primes: 1,129 (−5) · 1,151 (+17)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 81 · 126 · 162 · 189 · 378 · 567 (half) · 1134

Aliquot sum (sum of proper divisors): 1,770

Factor pairs (a × b = 1,134)

1 × 1134

2 × 567

3 × 378

6 × 189

7 × 162

9 × 126

14 × 81

18 × 63

21 × 54

27 × 42

First multiples

1,134 · 2,268 (double) · 3,402 · 4,536 · 5,670 · 6,804 · 7,938 · 9,072 · 10,206 · 11,340

Sums & aliquot sequence

As consecutive integers: 377 + 378 + 379 282 + 283 + 284 + 285 159 + 160 + … + 165 122 + 123 + … + 130

Aliquot sequence: 1,134 → 1,770 → 2,550 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 → 48,678 → 70,362 → 86,118 → 92,058 — unresolved within range

Continued fraction of √n

√1,134 = [33; (1, 2, 13, 7, 2, 2, 4, 2, 2, 7, 13, 2, 1, 66)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred thirty-four
Ordinal: 1134th
Roman numeral: MCXXXIV
Binary: 10001101110
Octal: 2156
Hexadecimal: 0x46E
Base64: BG4=
One's complement: 64,401 (16-bit)
Scientific notation: 1.134 × 10³
As a duration: 1,134 s = 18 minutes, 54 seconds

In other bases

ternary (3) 1120000

quaternary (4) 101232

quinary (5) 14014

senary (6) 5130

septenary (7) 3210

nonary (9) 1500

undecimal (11) 941

duodecimal (12) 7a6

tridecimal (13) 693

tetradecimal (14) 5b0

pentadecimal (15) 509

As an angle

1,134° = 3 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρλδʹ
Mayan (base 20): 𝋢·𝋰·𝋮
Chinese: 一千一百三十四
Chinese (financial): 壹仟壹佰參拾肆

In other modern scripts

Eastern Arabic ١١٣٤ Devanagari ११३४ Bengali ১১৩৪ Tamil ௧௧௩௪ Thai ๑๑๓๔ Tibetan ༡༡༣༤ Khmer ១១៣៤ Lao ໑໑໓໔ Burmese ၁၁၃၄

Digit at this position in famous constants

π — Pi (π): Digit 1,134 = 6
e — Euler's number (e): Digit 1,134 = 8
φ — Golden ratio (φ): Digit 1,134 = 0
√2 — Pythagoras's (√2): Digit 1,134 = 9
ln 2 — Natural log of 2: Digit 1,134 = 1
γ — Euler-Mascheroni (γ): Digit 1,134 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1134, here are decompositions:

5 + 1129 = 1134
11 + 1123 = 1134
17 + 1117 = 1134
31 + 1103 = 1134
37 + 1097 = 1134
41 + 1093 = 1134
43 + 1091 = 1134
47 + 1087 = 1134

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ksi

U+046E

Uppercase letter (Lu)

UTF-8 encoding: D1 AE (2 bytes).

Lookup U+046E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00046E

RGB(0, 4, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.110.

Address: 0.0.4.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.110

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

Musical pitch

Heard as a frequency, 1,134 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +39¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -23¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +40¢)

Position in π

The digit sequence 1134 first appears in π at position 758 of the decimal expansion (the 758ordinal-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 1134 on Pi Search ↗