Number

366

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

366 (three hundred sixty-six) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 61. Its proper divisors sum to 378, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCLXVI and in binary, 101101110.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378

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Historical context — 366 AD

Calendar year

Year 366 (CCCLXVI) was a common 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 — 366 BC

Calendar year

Year 366 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: Saturday
January 1, 366
Ended on: Saturday
December 31, 366
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 360s
360–369
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,660
1660 years before 2026.

In other calendars

Hebrew: 4126 / 4127 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 909 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 358 / 359 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 288 / 287 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 108
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 663
Recamán's sequence: a(56,827) = 366
Square (n²): 133,956
Cube (n³): 49,027,896
Divisor count: 8
σ(n) — sum of divisors: 744
φ(n) — Euler's totient: 120
Sum of prime factors: 66

Primality

Prime factorization: 2 × 3 × 61

Nearest primes: 359 (−7) · 367 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 61 · 122 · 183 (half) · 366

Aliquot sum (sum of proper divisors): 378

Factor pairs (a × b = 366)

1 × 366

2 × 183

3 × 122

6 × 61

First multiples

366 · 732 (double) · 1,098 · 1,464 · 1,830 · 2,196 · 2,562 · 2,928 · 3,294 · 3,660

Sums & aliquot sequence

As consecutive integers: 121 + 122 + 123 90 + 91 + 92 + 93 25 + 26 + … + 36

Aliquot sequence: 366 → 378 → 582 → 594 → 846 → 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 — unresolved within range

Continued fraction of √n

√366 = [19; (7, 1, 1, 1, 2, 12, 2, 1, 1, 1, 7, 38)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: three hundred sixty-six
Ordinal: 366th
Roman numeral: CCCLXVI
Binary: 101101110
Octal: 556
Hexadecimal: 0x16E
Base64: AW4=
One's complement: 65,169 (16-bit)
Scientific notation: 3.66 × 10²
As a duration: 366 s = 6 minutes, 6 seconds

In other bases

ternary (3) 111120

quaternary (4) 11232

quinary (5) 2431

senary (6) 1410

septenary (7) 1032

nonary (9) 446

undecimal (11) 303

duodecimal (12) 266

tridecimal (13) 222

tetradecimal (14) 1c2

pentadecimal (15) 196

Palindromic in base 11, base 13

As an angle

366° = 1 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τξϛʹ
Mayan (base 20): 𝋲·𝋦
Chinese: 三百六十六
Chinese (financial): 參佰陸拾陸

In other modern scripts

Eastern Arabic ٣٦٦ Devanagari ३६६ Bengali ৩৬৬ Tamil ௩௬௬ Thai ๓๖๖ Tibetan ༣༦༦ Khmer ៣៦៦ Lao ໓໖໖ Burmese ၃၆၆

Digit at this position in famous constants

π — Pi (π): Digit 366 = 3
e — Euler's number (e): Digit 366 = 2
φ — Golden ratio (φ): Digit 366 = 9
√2 — Pythagoras's (√2): Digit 366 = 7
ln 2 — Natural log of 2: Digit 366 = 4
γ — Euler-Mascheroni (γ): Digit 366 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 366, here are decompositions:

7 + 359 = 366
13 + 353 = 366
17 + 349 = 366
19 + 347 = 366
29 + 337 = 366
53 + 313 = 366
59 + 307 = 366
73 + 293 = 366

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter U With Ring Above

U+016E

Uppercase letter (Lu)

UTF-8 encoding: C5 AE (2 bytes).

Lookup U+016E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00016E

RGB(0, 1, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.110.

Address: 0.0.1.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.110

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

Musical pitch

Heard as a frequency, 366 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, -19¢)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, -18¢)

Time & calendar

366 is the number of days in a leap year.

Units of time — Wikipedia ↗