Number

468

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

468 (four hundred sixty-eight) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 13. Its proper divisors sum to 806, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDLXVIII and in binary, 111010100.

Abundant Number Ascending Digits Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number Stepped Digits Year

Interestingness

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9 notable facts · grade A

456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480

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Historical context — 468 AD

Calendar year

Year 468 (CDLXVIII) was a leap year starting on Monday of the Julian calendar.

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

Historical context — 468 BC

Calendar year

Year 468 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: 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, 468
Ended on: Monday
December 31, 468
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 460s
460–469
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,558
1558 years before 2026.

In other calendars

Hebrew: 4228 / 4229 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1011 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 460 / 461 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 390 / 389 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 864
Recamán's sequence: a(432) = 468
Square (n²): 219,024
Cube (n³): 102,503,232
Divisor count: 18
σ(n) — sum of divisors: 1,274
φ(n) — Euler's totient: 144
Sum of prime factors: 23

Primality

Prime factorization: 2 ² × 3 ² × 13

Nearest primes: 467 (−1) · 479 (+11)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 (half) · 468

Aliquot sum (sum of proper divisors): 806

Factor pairs (a × b = 468)

1 × 468

2 × 234

3 × 156

4 × 117

6 × 78

9 × 52

12 × 39

13 × 36

18 × 26

First multiples

468 · 936 (double) · 1,404 · 1,872 · 2,340 · 2,808 · 3,276 · 3,744 · 4,212 · 4,680

Sums & aliquot sequence

As a sum of two squares: 12² + 18²

As a sum of two cubes: 5³ + 7³

As consecutive integers: 155 + 156 + 157 55 + 56 + … + 62 48 + 49 + … + 56 30 + 31 + … + 42

Aliquot sequence: 468 → 806 → 538 → 272 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√468 = [21; (1, 1, 1, 2, 1, 1, 1, 42)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred sixty-eight
Ordinal: 468th
Roman numeral: CDLXVIII
Binary: 111010100
Octal: 724
Hexadecimal: 0x1D4
Base64: AdQ=
One's complement: 65,067 (16-bit)
Scientific notation: 4.68 × 10²
As a duration: 468 s = 7 minutes, 48 seconds

In other bases

ternary (3) 122100

quaternary (4) 13110

quinary (5) 3333

senary (6) 2100

septenary (7) 1236

nonary (9) 570

undecimal (11) 396

duodecimal (12) 330

tridecimal (13) 2a0

tetradecimal (14) 256

pentadecimal (15) 213

Palindromic in base 5

As an angle

468° = 1 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υξηʹ
Mayan (base 20): 𝋡·𝋣·𝋨
Chinese: 四百六十八
Chinese (financial): 肆佰陸拾捌

In other modern scripts

Eastern Arabic ٤٦٨ Devanagari ४६८ Bengali ৪৬৮ Tamil ௪௬௮ Thai ๔๖๘ Tibetan ༤༦༨ Khmer ៤៦៨ Lao ໔໖໘ Burmese ၄၆၈

Digit at this position in famous constants

π — Pi (π): Digit 468 = 6
e — Euler's number (e): Digit 468 = 4
φ — Golden ratio (φ): Digit 468 = 6
√2 — Pythagoras's (√2): Digit 468 = 6
ln 2 — Natural log of 2: Digit 468 = 0
γ — Euler-Mascheroni (γ): Digit 468 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468, here are decompositions:

5 + 463 = 468
7 + 461 = 468
11 + 457 = 468
19 + 449 = 468
29 + 439 = 468
37 + 431 = 468
47 + 421 = 468
59 + 409 = 468

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter U With Caron

U+01D4

Lowercase letter (Ll)

UTF-8 encoding: C7 94 (2 bytes).

Lookup U+01D4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001D4

RGB(0, 1, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.212.

Address: 0.0.1.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.212

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

Musical pitch

Heard as a frequency, 468 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, +7¢)
Scientific pitch (C4 = 256 Hz): A♯4 (456.1 Hz, +44¢)
Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, +8¢)