Number

438

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

438 (four hundred thirty-eight) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 73. Its proper divisors sum to 450, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXXXVIII and in binary, 110110110.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450

less more

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 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 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

Continued fraction of √n

√438 = [20; (1, 12, 1, 40)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 4.38 × 10²
As a duration: 438 s = 7 minutes, 18 seconds

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

Palindromic in base 5, base 8

As an angle

438° = 1 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

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

Latin Small Letter Z With Stroke

U+01B6

Lowercase letter (Ll)

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

Lookup U+01B6 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Look up area code 438 ↗

Musical pitch

Heard as a frequency, 438 Hz is closest to:

Concert pitch (A4 = 440 Hz): A4 (440 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A4 (430.5 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): A♯4 (439.7 Hz, -7¢)