number.wiki
Number

1,034

1,034 is a composite number, even, a calendar year.

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

Historical context — 1034 AD

Calendar year

Year 1034 (MXXXIV) was a common 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
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
Wednesday
January 1, 1034
Ended on
Wednesday
December 31, 1034
Friday the 13ths
1
One Friday the 13th this year.
Decade
1030s
1030–1039
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
992
992 years before 2026.

In other calendars

Hebrew
4794 / 4795 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
425 / 426 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dog
Sexagenary cycle position 11 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1577 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
412 / 413 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1026 / 1027 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
956 / 955 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
4,301
Recamán's sequence
a(4,351) = 1,034
Square (n²)
1,069,156
Cube (n³)
1,105,507,304
Divisor count
8
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
460
Sum of prime factors
60

Primality

Prime factorization: 2 × 11 × 47

Nearest primes: 1,033 (−1) · 1,039 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 47 · 94 · 517 (half) · 1034
Aliquot sum (sum of proper divisors): 694
Factor pairs (a × b = 1,034)
1 × 1034
2 × 517
11 × 94
22 × 47
First multiples
1,034 · 2,068 (double) · 3,102 · 4,136 · 5,170 · 6,204 · 7,238 · 8,272 · 9,306 · 10,340

Sums & aliquot sequence

As consecutive integers: 257 + 258 + 259 + 260 89 + 90 + … + 99 2 + 3 + … + 45
Aliquot sequence: 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand thirty-four
Ordinal
1034th
Roman numeral
MXXXIV
Binary
10000001010
Octal
2012
Hexadecimal
0x40A
Base64
BAo=
One's complement
64,501 (16-bit)
In other bases
ternary (3) 1102022
quaternary (4) 100022
quinary (5) 13114
senary (6) 4442
septenary (7) 3005
nonary (9) 1368
undecimal (11) 860
duodecimal (12) 722
tridecimal (13) 617
tetradecimal (14) 53c
pentadecimal (15) 48e

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αλδʹ
Mayan (base 20)
𝋢·𝋫·𝋮
Chinese
一千零三十四
Chinese (financial)
壹仟零參拾肆
In other modern scripts
Eastern Arabic ١٠٣٤ Devanagari १०३४ Bengali ১০৩৪ Tamil ௧௦௩௪ Thai ๑๐๓๔ Tibetan ༡༠༣༤ Khmer ១០៣៤ Lao ໑໐໓໔ Burmese ၁၀၃၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,034 = 3
e — Euler's number (e)
Digit 1,034 = 6
φ — Golden ratio (φ)
Digit 1,034 = 5
√2 — Pythagoras's (√2)
Digit 1,034 = 0
ln 2 — Natural log of 2
Digit 1,034 = 5
γ — Euler-Mascheroni (γ)
Digit 1,034 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1034, here are decompositions:

  • 3 + 1031 = 1034
  • 13 + 1021 = 1034
  • 37 + 997 = 1034
  • 43 + 991 = 1034
  • 67 + 967 = 1034
  • 97 + 937 = 1034
  • 127 + 907 = 1034
  • 151 + 883 = 1034

Showing the first eight; more decompositions exist.

Unicode codepoint
Њ
Cyrillic Capital Letter Nje
U+040A
Uppercase letter (Lu)

UTF-8 encoding: D0 8A (2 bytes).

Hex color
#00040A
RGB(0, 4, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.10.

Address
0.0.4.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.10

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

Position in π

The digit sequence 1034 first appears in π at position 7,396 of the decimal expansion (the 7,396ordinal-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.