Number

384

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

384 (three hundred eighty-four) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 3. Its proper divisors sum to 636, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCLXXXIV and in binary, 110000000.

Abundant Number Evil Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year Zuckerman Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396

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Historical context — 384 AD

Calendar year

Year 384 (CCCLXXXIV) 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 — 384 BC

Calendar year

Year 384 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, 384
Ended on: Monday
December 31, 384
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 380s
380–389
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,642
1642 years before 2026.

In other calendars

Hebrew: 4144 / 4145 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 927 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 376 / 377 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 306 / 305 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: 483
Recamán's sequence: a(2,484) = 384
Square (n²): 147,456
Cube (n³): 56,623,104
Divisor count: 16
σ(n) — sum of divisors: 1,020
φ(n) — Euler's totient: 128
Sum of prime factors: 17

Primality

Prime factorization: 2 ⁷ × 3

Nearest primes: 383 (−1) · 389 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 (half) · 384

Aliquot sum (sum of proper divisors): 636

Factor pairs (a × b = 384)

1 × 384

2 × 192

3 × 128

4 × 96

6 × 64

8 × 48

12 × 32

16 × 24

First multiples

384 · 768 (double) · 1,152 · 1,536 · 1,920 · 2,304 · 2,688 · 3,072 · 3,456 · 3,840

Sums & aliquot sequence

As consecutive integers: 127 + 128 + 129

Aliquot sequence: 384 → 636 → 876 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Continued fraction of √n

√384 = [19; (1, 1, 2, 9, 2, 1, 1, 38)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three hundred eighty-four
Ordinal: 384th
Roman numeral: CCCLXXXIV
Binary: 110000000
Octal: 600
Hexadecimal: 0x180
Base64: AYA=
One's complement: 65,151 (16-bit)
Scientific notation: 3.84 × 10²
As a duration: 384 s = 6 minutes, 24 seconds

In other bases

ternary (3) 112020

quaternary (4) 12000

quinary (5) 3014

senary (6) 1440

septenary (7) 1056

nonary (9) 466

undecimal (11) 31a

duodecimal (12) 280

tridecimal (13) 237

tetradecimal (14) 1d6

pentadecimal (15) 1a9

As an angle

384° = 1 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): τπδʹ
Mayan (base 20): 𝋳·𝋤
Chinese: 三百八十四
Chinese (financial): 參佰捌拾肆

In other modern scripts

Eastern Arabic ٣٨٤ Devanagari ३८४ Bengali ৩৮৪ Tamil ௩௮௪ Thai ๓๘๔ Tibetan ༣༨༤ Khmer ៣៨៤ Lao ໓໘໔ Burmese ၃၈၄

Digit at this position in famous constants

π — Pi (π): Digit 384 = 8
e — Euler's number (e): Digit 384 = 3
φ — Golden ratio (φ): Digit 384 = 0
√2 — Pythagoras's (√2): Digit 384 = 5
ln 2 — Natural log of 2: Digit 384 = 3
γ — Euler-Mascheroni (γ): Digit 384 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 384, here are decompositions:

5 + 379 = 384
11 + 373 = 384
17 + 367 = 384
31 + 353 = 384
37 + 347 = 384
47 + 337 = 384
53 + 331 = 384
67 + 317 = 384

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter B With Stroke

U+0180

Lowercase letter (Ll)

UTF-8 encoding: C6 80 (2 bytes).

Lookup U+0180 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000180

RGB(0, 1, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.128.

Address: 0.0.1.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.128

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

Musical pitch

Heard as a frequency, 384 Hz is closest to:

Concert pitch (A4 = 440 Hz): G4 (392 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G4 (383.6 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): G♯4 (391.7 Hz, -34¢)