Number

363

363 is a composite number, odd, a calendar year.

363 (three hundred sixty-three) is an odd 3-digit number. It is a composite number with 6 divisors, and factors as 3 × 11². Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CCCLXIII and in binary, 101101011.

Cube-Free Deficient Number Evil Number Gapful Number Palindrome Recamán's Sequence Undulating Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375

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Historical context — 363 AD

Calendar year

Year 363 (CCCLXIII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 363 BC

Calendar year

Year 363 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: Tuesday
January 1, 363
Ended on: Tuesday
December 31, 363
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 360s
360–369
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,663
1663 years before 2026.

In other calendars

Hebrew: 4123 / 4124 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 906 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 355 / 356 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 285 / 284 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 12
Digit product: 54
Digital root: 3
Palindrome: Yes
Bit width: 9 bits
Recamán's sequence: a(9,074) = 363
Square (n²): 131,769
Cube (n³): 47,832,147
Divisor count: 6
σ(n) — sum of divisors: 532
φ(n) — Euler's totient: 220
Sum of prime factors: 25

Primality

Prime factorization: 3 × 11 ²

Nearest primes: 359 (−4) · 367 (+4)

Divisors & multiples

All divisors (6)

1 · 3 · 11 · 33 · 121 · 363

Aliquot sum (sum of proper divisors): 169

Factor pairs (a × b = 363)

1 × 363

3 × 121

11 × 33

First multiples

363 · 726 (double) · 1,089 · 1,452 · 1,815 · 2,178 · 2,541 · 2,904 · 3,267 · 3,630

Sums & aliquot sequence

As consecutive integers: 181 + 182 120 + 121 + 122 58 + 59 + 60 + 61 + 62 + 63 28 + 29 + … + 38

Aliquot sequence: 363 → 169 → 14 → 10 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√363 = [19; (19, 38)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three hundred sixty-three
Ordinal: 363rd
Roman numeral: CCCLXIII
Binary: 101101011
Octal: 553
Hexadecimal: 0x16B
Base64: AWs=
One's complement: 65,172 (16-bit)
Scientific notation: 3.63 × 10²
As a duration: 363 s = 6 minutes, 3 seconds

In other bases

ternary (3) 111110

quaternary (4) 11223

quinary (5) 2423

senary (6) 1403

septenary (7) 1026

nonary (9) 443

undecimal (11) 300

duodecimal (12) 263

tridecimal (13) 21c

tetradecimal (14) 1bd

pentadecimal (15) 193

As an angle

363° = 1 × 360° + 3°

3° ≈ 0.052 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): τξγʹ
Mayan (base 20): 𝋲·𝋣
Chinese: 三百六十三
Chinese (financial): 參佰陸拾參

In other modern scripts

Eastern Arabic ٣٦٣ Devanagari ३६३ Bengali ৩৬৩ Tamil ௩௬௩ Thai ๓๖๓ Tibetan ༣༦༣ Khmer ៣៦៣ Lao ໓໖໓ Burmese ၃၆၃

Digit at this position in famous constants

π — Pi (π): Digit 363 = 1
e — Euler's number (e): Digit 363 = 0
φ — Golden ratio (φ): Digit 363 = 7
√2 — Pythagoras's (√2): Digit 363 = 3
ln 2 — Natural log of 2: Digit 363 = 6
γ — Euler-Mascheroni (γ): Digit 363 = 7

Also seen as

Unicode codepoint

Latin Small Letter U With Macron

U+016B

Lowercase letter (Ll)

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

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

Hex color

#00016B

RGB(0, 1, 107)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.107.

Address: 0.0.1.107
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.107

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

Musical pitch

Heard as a frequency, 363 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, -33¢)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, -32¢)