Number

324

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

Abundant Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 324 AD

Calendar year

Year 324 (CCCXXIV) was a leap year starting on Wednesday in the Julian calendar.

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Historical context — 324 BC

Calendar year

Year 324 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: Tuesday
January 1, 324
Ended on: Wednesday
December 31, 324
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 320s
320–329
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,702
1702 years before 2026.

In other calendars

Hebrew: 4084 / 4085 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: 867 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 316 / 317 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 246 / 245 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 24
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 423
Recamán's sequence: a(600) = 324
Square (n²): 104,976
Cube (n³): 34,012,224
Square root (√n): 18
Divisor count: 15
σ(n) — sum of divisors: 847
φ(n) — Euler's totient: 108
Sum of prime factors: 16

Primality

Prime factorization: 2 ² × 3 ⁴

Nearest primes: 317 (−7) · 331 (+7)

Divisors & multiples

All divisors (15)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 (half) · 324

Aliquot sum (sum of proper divisors): 523

Factor pairs (a × b = 324)

1 × 324

2 × 162

3 × 108

4 × 81

6 × 54

9 × 36

12 × 27

18 × 18

First multiples

324 · 648 (double) · 972 · 1,296 · 1,620 · 1,944 · 2,268 · 2,592 · 2,916 · 3,240

Sums & aliquot sequence

As a sum of two squares: 0² + 18²

As consecutive integers: 107 + 108 + 109 37 + 38 + … + 44 32 + 33 + … + 40 2 + 3 + … + 25

Aliquot sequence: 324 → 523 → 1 → 0 — terminates at zero

Representations

In words: three hundred twenty-four
Ordinal: 324th
Roman numeral: CCCXXIV
Binary: 101000100
Octal: 504
Hexadecimal: 0x144
Base64: AUQ=
One's complement: 65,211 (16-bit)

In other bases

ternary (3) 110000

quaternary (4) 11010

quinary (5) 2244

senary (6) 1300

septenary (7) 642

nonary (9) 400

undecimal (11) 275

duodecimal (12) 230

tridecimal (13) 1bc

tetradecimal (14) 192

pentadecimal (15) 169

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): τκδʹ
Mayan (base 20): 𝋰·𝋤
Chinese: 三百二十四
Chinese (financial): 參佰貳拾肆

In other modern scripts

Eastern Arabic ٣٢٤ Devanagari ३२४ Bengali ৩২৪ Tamil ௩௨௪ Thai ๓๒๔ Tibetan ༣༢༤ Khmer ៣២៤ Lao ໓໒໔ Burmese ၃၂၄

Digit at this position in famous constants

π — Pi (π): Digit 324 = 8
e — Euler's number (e): Digit 324 = 8
φ — Golden ratio (φ): Digit 324 = 4
√2 — Pythagoras's (√2): Digit 324 = 4
ln 2 — Natural log of 2: Digit 324 = 7
γ — Euler-Mascheroni (γ): Digit 324 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 324, here are decompositions:

7 + 317 = 324
11 + 313 = 324
13 + 311 = 324
17 + 307 = 324
31 + 293 = 324
41 + 283 = 324
43 + 281 = 324
47 + 277 = 324

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter N With Acute

U+0144

Lowercase letter (Ll)

UTF-8 encoding: C5 84 (2 bytes).

Lookup U+0144 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000144

RGB(0, 1, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.68.

Address: 0.0.1.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.68

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