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Number

438

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

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree Year

Historical context — 438 AD

Calendar year

Year 438 (CDXXXVIII) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 438 BC

Calendar year

Year 438 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
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
Friday
January 1, 438
Ended on
Friday
December 31, 438
Friday the 13ths
1
One Friday the 13th this year.
Decade
430s
430–439
Century
5th century
401–500
Millennium
1st millennium
1–1000
Years ago
1,588
1588 years before 2026.

In other calendars

Hebrew
4198 / 4199 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
981 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
430 / 431 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
360 / 359 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
9 bits
Reversed
834
Recamán's sequence
a(4,767) = 438
Square (n²)
191,844
Cube (n³)
84,027,672
Divisor count
8
σ(n) — sum of divisors
888
φ(n) — Euler's totient
144
Sum of prime factors
78

Primality

Prime factorization: 2 × 3 × 73

Nearest primes: 433 (−5) · 439 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 73 · 146 · 219 (half) · 438
Aliquot sum (sum of proper divisors): 450
Factor pairs (a × b = 438)
1 × 438
2 × 219
3 × 146
6 × 73
First multiples
438 · 876 (double) · 1,314 · 1,752 · 2,190 · 2,628 · 3,066 · 3,504 · 3,942 · 4,380

Sums & aliquot sequence

As consecutive integers: 145 + 146 + 147 108 + 109 + 110 + 111 31 + 32 + … + 42
Aliquot sequence: 438 450 759 393 135 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
four hundred thirty-eight
Ordinal
438th
Roman numeral
CDXXXVIII
Binary
110110110
Octal
666
Hexadecimal
0x1B6
Base64
AbY=
One's complement
65,097 (16-bit)
In other bases
ternary (3) 121020
quaternary (4) 12312
quinary (5) 3223
senary (6) 2010
septenary (7) 1164
nonary (9) 536
undecimal (11) 369
duodecimal (12) 306
tridecimal (13) 279
tetradecimal (14) 234
pentadecimal (15) 1e3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
υληʹ
Mayan (base 20)
𝋡·𝋡·𝋲
Chinese
四百三十八
Chinese (financial)
肆佰參拾捌
In other modern scripts
Eastern Arabic ٤٣٨ Devanagari ४३८ Bengali ৪৩৮ Tamil ௪௩௮ Thai ๔๓๘ Tibetan ༤༣༨ Khmer ៤៣៨ Lao ໔໓໘ Burmese ၄၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 438 = 1
e — Euler's number (e)
Digit 438 = 8
φ — Golden ratio (φ)
Digit 438 = 2
√2 — Pythagoras's (√2)
Digit 438 = 5
ln 2 — Natural log of 2
Digit 438 = 6
γ — Euler-Mascheroni (γ)
Digit 438 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 438, here are decompositions:

  • 5 + 433 = 438
  • 7 + 431 = 438
  • 17 + 421 = 438
  • 19 + 419 = 438
  • 29 + 409 = 438
  • 37 + 401 = 438
  • 41 + 397 = 438
  • 59 + 379 = 438

Showing the first eight; more decompositions exist.

Unicode codepoint
ƶ
Latin Small Letter Z With Stroke
U+01B6
Lowercase letter (Ll)

UTF-8 encoding: C6 B6 (2 bytes).

Hex color
#0001B6
RGB(0, 1, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.182.

Address
0.0.1.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.182

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

NANP area code 438

The number 438 is an active NANP area code (North American Numbering Plan).

Primary area
Montreal
Region
Québec
Country
Canada

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