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Number

440

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

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 440 AD

Calendar year

Year 440 (CDXL) was a leap year starting on Monday of the Julian calendar.

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Historical context — 440 BC

Calendar year

Year 440 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
Sunday
January 1, 440
Ended on
Monday
December 31, 440
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
440s
440–449
Century
5th century
401–500
Millennium
1st millennium
1–1000
Years ago
1,586
1586 years before 2026.

In other calendars

Hebrew
4200 / 4201 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
983 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
432 / 433 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
362 / 361 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
9 bits
Reversed
44
Recamán's sequence
a(4,763) = 440
Square (n²)
193,600
Cube (n³)
85,184,000
Divisor count
16
σ(n) — sum of divisors
1,080
φ(n) — Euler's totient
160
Sum of prime factors
22

Primality

Prime factorization: 2 3 × 5 × 11

Nearest primes: 439 (−1) · 443 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 (half) · 440
Aliquot sum (sum of proper divisors): 640
Factor pairs (a × b = 440)
1 × 440
2 × 220
4 × 110
5 × 88
8 × 55
10 × 44
11 × 40
20 × 22
First multiples
440 · 880 (double) · 1,320 · 1,760 · 2,200 · 2,640 · 3,080 · 3,520 · 3,960 · 4,400

Sums & aliquot sequence

As consecutive integers: 86 + 87 + 88 + 89 + 90 35 + 36 + … + 45 20 + 21 + … + 35
Aliquot sequence: 440 640 890 730 602 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
four hundred forty
Ordinal
440th
Roman numeral
CDXL
Binary
110111000
Octal
670
Hexadecimal
0x1B8
Base64
Abg=
One's complement
65,095 (16-bit)
In other bases
ternary (3) 121022
quaternary (4) 12320
quinary (5) 3230
senary (6) 2012
septenary (7) 1166
nonary (9) 538
undecimal (11) 370
duodecimal (12) 308
tridecimal (13) 27b
tetradecimal (14) 236
pentadecimal (15) 1e5

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
υμʹ
Mayan (base 20)
𝋡·𝋢·𝋠
Chinese
四百四十
Chinese (financial)
肆佰肆拾
In other modern scripts
Eastern Arabic ٤٤٠ Devanagari ४४० Bengali ৪৪০ Tamil ௪௪௦ Thai ๔๔๐ Tibetan ༤༤༠ Khmer ៤៤០ Lao ໔໔໐ Burmese ၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 440 = 7
e — Euler's number (e)
Digit 440 = 4
φ — Golden ratio (φ)
Digit 440 = 7
√2 — Pythagoras's (√2)
Digit 440 = 2
ln 2 — Natural log of 2
Digit 440 = 6
γ — Euler-Mascheroni (γ)
Digit 440 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 440, here are decompositions:

  • 7 + 433 = 440
  • 19 + 421 = 440
  • 31 + 409 = 440
  • 43 + 397 = 440
  • 61 + 379 = 440
  • 67 + 373 = 440
  • 73 + 367 = 440
  • 103 + 337 = 440

Showing the first eight; more decompositions exist.

Unicode codepoint
Ƹ
Latin Capital Letter Ezh Reversed
U+01B8
Uppercase letter (Lu)

UTF-8 encoding: C6 B8 (2 bytes).

Hex color
#0001B8
RGB(0, 1, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.184.

Address
0.0.1.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.184

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

NANP area code 440

The number 440 is an active NANP area code (North American Numbering Plan).

Primary area
Eastern / Western suburbs of Cleveland
Region
Ohio
Country
United States

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000440
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.