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Number

968

968 is a composite number, even, a calendar year.

Abundant Number Achilles Number Flippable Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 968 AD

Calendar year

Year 968 (CMLXVIII) was a leap year starting on Wednesday of the Julian calendar.

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

Historical context — 968 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

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
Friday
January 1, 968
Ended on
Saturday
December 31, 968
Friday the 13ths
1
One Friday the 13th this year.
Decade
960s
960–969
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,058
1058 years before 2026.

In other calendars

Hebrew
4728 / 4729 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
357 / 358 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1511 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
346 / 347 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
960 / 961 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
890 / 889 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
23
Digit product
432
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
869
Flips to (rotate 180°)
896
Recamán's sequence
a(4,483) = 968
Square (n²)
937,024
Cube (n³)
907,039,232
Divisor count
12
σ(n) — sum of divisors
1,995
φ(n) — Euler's totient
440
Sum of prime factors
28

Primality

Prime factorization: 2 3 × 11 2

Nearest primes: 967 (−1) · 971 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 121 · 242 · 484 (half) · 968
Aliquot sum (sum of proper divisors): 1,027
Factor pairs (a × b = 968)
1 × 968
2 × 484
4 × 242
8 × 121
11 × 88
22 × 44
First multiples
968 · 1,936 (double) · 2,904 · 3,872 · 4,840 · 5,808 · 6,776 · 7,744 · 8,712 · 9,680

Sums & aliquot sequence

As a sum of two squares: 22² + 22²
As consecutive integers: 83 + 84 + … + 93 53 + 54 + … + 68
Aliquot sequence: 968 1,027 93 35 13 1 0 — terminates at zero

Representations

In words
nine hundred sixty-eight
Ordinal
968th
Roman numeral
CMLXVIII
Binary
1111001000
Octal
1710
Hexadecimal
0x3C8
Base64
A8g=
One's complement
64,567 (16-bit)
In other bases
ternary (3) 1022212
quaternary (4) 33020
quinary (5) 12333
senary (6) 4252
septenary (7) 2552
nonary (9) 1285
undecimal (11) 800
duodecimal (12) 688
tridecimal (13) 596
tetradecimal (14) 4d2
pentadecimal (15) 448

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡξηʹ
Mayan (base 20)
𝋢·𝋨·𝋨
Chinese
九百六十八
Chinese (financial)
玖佰陸拾捌
In other modern scripts
Eastern Arabic ٩٦٨ Devanagari ९६८ Bengali ৯৬৮ Tamil ௯௬௮ Thai ๙๖๘ Tibetan ༩༦༨ Khmer ៩៦៨ Lao ໙໖໘ Burmese ၉၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 968 = 8
e — Euler's number (e)
Digit 968 = 6
φ — Golden ratio (φ)
Digit 968 = 2
√2 — Pythagoras's (√2)
Digit 968 = 6
ln 2 — Natural log of 2
Digit 968 = 2
γ — Euler-Mascheroni (γ)
Digit 968 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 968, here are decompositions:

  • 31 + 937 = 968
  • 61 + 907 = 968
  • 109 + 859 = 968
  • 139 + 829 = 968
  • 157 + 811 = 968
  • 181 + 787 = 968
  • 199 + 769 = 968
  • 211 + 757 = 968

Showing the first eight; more decompositions exist.

Unicode codepoint
ψ
Greek Small Letter Psi
U+03C8
Lowercase letter (Ll)

UTF-8 encoding: CF 88 (2 bytes).

Hex color
#0003C8
RGB(0, 3, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.200.

Address
0.0.3.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.200

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