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Number

668

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

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

Historical context — 668 AD

Calendar year

Year 668 (DCLXVIII) was a leap year starting on Saturday of the Julian calendar.

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Historical context — 668 BC

Calendar year

The year 668 BC was a year of the pre-Julian Roman 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
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 668
Ended on
Thursday
December 31, 668
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
660s
660–669
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,358
1358 years before 2026.

In other calendars

Hebrew
4428 / 4429 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
47 / 48 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
1211 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
46 / 47 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
660 / 661 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
590 / 589 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
866
Flips to (rotate 180°)
899
Recamán's sequence
a(2,288) = 668
Square (n²)
446,224
Cube (n³)
298,077,632
Divisor count
6
σ(n) — sum of divisors
1,176
φ(n) — Euler's totient
332
Sum of prime factors
171

Primality

Prime factorization: 2 2 × 167

Nearest primes: 661 (−7) · 673 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 167 · 334 (half) · 668
Aliquot sum (sum of proper divisors): 508
Factor pairs (a × b = 668)
1 × 668
2 × 334
4 × 167
First multiples
668 · 1,336 (double) · 2,004 · 2,672 · 3,340 · 4,008 · 4,676 · 5,344 · 6,012 · 6,680

Sums & aliquot sequence

As consecutive integers: 80 + 81 + … + 87
Aliquot sequence: 668 508 388 298 152 148 118 62 34 20 22 14 10 8 7 1 0 — terminates at zero

Representations

In words
six hundred sixty-eight
Ordinal
668th
Roman numeral
DCLXVIII
Binary
1010011100
Octal
1234
Hexadecimal
0x29C
Base64
Apw=
One's complement
64,867 (16-bit)
In other bases
ternary (3) 220202
quaternary (4) 22130
quinary (5) 10133
senary (6) 3032
septenary (7) 1643
nonary (9) 822
undecimal (11) 558
duodecimal (12) 478
tridecimal (13) 3c5
tetradecimal (14) 35a
pentadecimal (15) 2e8

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
χξηʹ
Mayan (base 20)
𝋡·𝋭·𝋨
Chinese
六百六十八
Chinese (financial)
陸佰陸拾捌
In other modern scripts
Eastern Arabic ٦٦٨ Devanagari ६६८ Bengali ৬৬৮ Tamil ௬௬௮ Thai ๖๖๘ Tibetan ༦༦༨ Khmer ៦៦៨ Lao ໖໖໘ Burmese ၆၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 668 = 4
e — Euler's number (e)
Digit 668 = 8
φ — Golden ratio (φ)
Digit 668 = 8
√2 — Pythagoras's (√2)
Digit 668 = 8
ln 2 — Natural log of 2
Digit 668 = 0
γ — Euler-Mascheroni (γ)
Digit 668 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 668, here are decompositions:

  • 7 + 661 = 668
  • 37 + 631 = 668
  • 61 + 607 = 668
  • 67 + 601 = 668
  • 97 + 571 = 668
  • 127 + 541 = 668
  • 181 + 487 = 668
  • 211 + 457 = 668

Showing the first eight; more decompositions exist.

Unicode codepoint
ʜ
Latin Letter Small Capital H
U+029C
Lowercase letter (Ll)

UTF-8 encoding: CA 9C (2 bytes).

Hex color
#00029C
RGB(0, 2, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.156.

Address
0.0.2.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.156

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