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Number

664

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

Deficient Number Evil Number Recamán's Sequence Year

Historical context — 664 AD

Calendar year

Year 664 (DCLXIV) was a leap year starting on Monday of the Julian calendar.

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Historical context — 664 BC

Calendar year

The year 664 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
52
Started on
Friday
January 1, 664
Ended on
Saturday
December 31, 664
Friday the 13ths
1
One Friday the 13th this year.
Decade
660s
660–669
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,362
1362 years before 2026.

In other calendars

Hebrew
4424 / 4425 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
43 / 44 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
1207 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
42 / 43 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
656 / 657 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
586 / 585 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
466
Recamán's sequence
a(2,296) = 664
Square (n²)
440,896
Cube (n³)
292,754,944
Divisor count
8
σ(n) — sum of divisors
1,260
φ(n) — Euler's totient
328
Sum of prime factors
89

Primality

Prime factorization: 2 3 × 83

Nearest primes: 661 (−3) · 673 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 83 · 166 · 332 (half) · 664
Aliquot sum (sum of proper divisors): 596
Factor pairs (a × b = 664)
1 × 664
2 × 332
4 × 166
8 × 83
First multiples
664 · 1,328 (double) · 1,992 · 2,656 · 3,320 · 3,984 · 4,648 · 5,312 · 5,976 · 6,640

Sums & aliquot sequence

As consecutive integers: 34 + 35 + … + 49
Aliquot sequence: 664 596 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
six hundred sixty-four
Ordinal
664th
Roman numeral
DCLXIV
Binary
1010011000
Octal
1230
Hexadecimal
0x298
Base64
Apg=
One's complement
64,871 (16-bit)
In other bases
ternary (3) 220121
quaternary (4) 22120
quinary (5) 10124
senary (6) 3024
septenary (7) 1636
nonary (9) 817
undecimal (11) 554
duodecimal (12) 474
tridecimal (13) 3c1
tetradecimal (14) 356
pentadecimal (15) 2e4

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
χξδʹ
Mayan (base 20)
𝋡·𝋭·𝋤
Chinese
六百六十四
Chinese (financial)
陸佰陸拾肆
In other modern scripts
Eastern Arabic ٦٦٤ Devanagari ६६४ Bengali ৬৬৪ Tamil ௬௬௪ Thai ๖๖๔ Tibetan ༦༦༤ Khmer ៦៦៤ Lao ໖໖໔ Burmese ၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 664 = 4
e — Euler's number (e)
Digit 664 = 2
φ — Golden ratio (φ)
Digit 664 = 6
√2 — Pythagoras's (√2)
Digit 664 = 4
ln 2 — Natural log of 2
Digit 664 = 3
γ — Euler-Mascheroni (γ)
Digit 664 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 664, here are decompositions:

  • 3 + 661 = 664
  • 5 + 659 = 664
  • 11 + 653 = 664
  • 17 + 647 = 664
  • 23 + 641 = 664
  • 47 + 617 = 664
  • 71 + 593 = 664
  • 101 + 563 = 664

Showing the first eight; more decompositions exist.

Unicode codepoint
ʘ
Latin Letter Bilabial Click
U+0298
Lowercase letter (Ll)

UTF-8 encoding: CA 98 (2 bytes).

Hex color
#000298
RGB(0, 2, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.152.

Address
0.0.2.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.152

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

NANP area code 664

The number 664 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
Montserrat
Country
Montserrat

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.