Number

288

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

288 (two hundred eighty-eight) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2⁵ × 3². Its proper divisors sum to 531, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCLXXXVIII and in binary, 100100000.

Abundant Number Achilles Number Evil Number Harshad / Niven Highly Abundant Pentagonal Pyramidal Pernicious Number Powerful Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number Year

Interestingness

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10 notable facts · grade A

276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300

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Historical context — 288 AD

Calendar year

Year 288 (CCLXXXVIII) was a leap year starting on Sunday of the Julian calendar.

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

Historical context — 288 BC

Calendar year

Year 288 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, 288
Ended on: Monday
December 31, 288
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 280s
280–289
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,738
1738 years before 2026.

In other calendars

Hebrew: 4048 / 4049 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: 831 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 280 / 281 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 210 / 209 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 128
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 882
Recamán's sequence: a(672) = 288
Square (n²): 82,944
Cube (n³): 23,887,872
Divisor count: 18
σ(n) — sum of divisors: 819
φ(n) — Euler's totient: 96
Sum of prime factors: 16

Primality

Prime factorization: 2 ⁵ × 3 ²

Nearest primes: 283 (−5) · 293 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 (half) · 288

Aliquot sum (sum of proper divisors): 531

Factor pairs (a × b = 288)

1 × 288

2 × 144

3 × 96

4 × 72

6 × 48

8 × 36

9 × 32

12 × 24

16 × 18

First multiples

288 · 576 (double) · 864 · 1,152 · 1,440 · 1,728 · 2,016 · 2,304 · 2,592 · 2,880

Sums & aliquot sequence

As a sum of two squares: 12² + 12²

As consecutive integers: 95 + 96 + 97 28 + 29 + … + 36

Aliquot sequence: 288 → 531 → 249 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√288 = [16; (1, 32)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two hundred eighty-eight
Ordinal: 288th
Roman numeral: CCLXXXVIII
Binary: 100100000
Octal: 440
Hexadecimal: 0x120
Base64: ASA=
One's complement: 65,247 (16-bit)
Scientific notation: 2.88 × 10²
As a duration: 288 s = 4 minutes, 48 seconds

In other bases

ternary (3) 101200

quaternary (4) 10200

quinary (5) 2123

senary (6) 1200

septenary (7) 561

nonary (9) 350

undecimal (11) 242

duodecimal (12) 200

tridecimal (13) 192

tetradecimal (14) 168

pentadecimal (15) 143

Palindromic in base 11

As an angle

288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): σπηʹ
Mayan (base 20): 𝋮·𝋨
Chinese: 二百八十八
Chinese (financial): 貳佰捌拾捌

In other modern scripts

Eastern Arabic ٢٨٨ Devanagari २८८ Bengali ২৮৮ Tamil ௨௮௮ Thai ๒๘๘ Tibetan ༢༨༨ Khmer ២៨៨ Lao ໒໘໘ Burmese ၂၈၈

Digit at this position in famous constants

π — Pi (π): Digit 288 = 0
e — Euler's number (e): Digit 288 = 3
φ — Golden ratio (φ): Digit 288 = 4
√2 — Pythagoras's (√2): Digit 288 = 2
ln 2 — Natural log of 2: Digit 288 = 5
γ — Euler-Mascheroni (γ): Digit 288 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 288, here are decompositions:

5 + 283 = 288
7 + 281 = 288
11 + 277 = 288
17 + 271 = 288
19 + 269 = 288
31 + 257 = 288
37 + 251 = 288
47 + 241 = 288

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter G With Dot Above

U+0120

Uppercase letter (Lu)

UTF-8 encoding: C4 A0 (2 bytes).

Lookup U+0120 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000120

RGB(0, 1, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.32.

Address: 0.0.1.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.32

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

Musical pitch

Heard as a frequency, 288 Hz is closest to:

Concert pitch (A4 = 440 Hz): D4 (293.7 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): D4 (287.4 Hz, +4¢)
Baroque pitch (A4 = 415 Hz): D♯4 (293.4 Hz, -32¢)