Number

300

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

300 (three hundred) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 3 × 5². Its proper divisors sum to 568, more than the number itself, making it an abundant number. It is the 24th triangular number. Written other ways, in Roman numerals it is CCC and in binary, 100101100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Preferred Number Recamán's Sequence Semiperfect Number Triangular Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312

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Historical context — 300 AD

Calendar year

The year 300 (CCC) 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 →

Notable events — 300 BC

Undated Euclid produces the Elements at Alexandria.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Monday
January 1, 300
Ended on: Monday
December 31, 300
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 300s
300–309
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,726
1726 years before 2026.

In other calendars

Hebrew: 4060 / 4061 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 843 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 292 / 293 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 222 / 221 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 3
Recamán's sequence: a(648) = 300
Square (n²): 90,000
Cube (n³): 27,000,000
Divisor count: 18
σ(n) — sum of divisors: 868
φ(n) — Euler's totient: 80
Sum of prime factors: 17

Primality

Prime factorization: 2 ² × 3 × 5 ²

Nearest primes: 293 (−7) · 307 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 (half) · 300

Aliquot sum (sum of proper divisors): 568

Factor pairs (a × b = 300)

1 × 300

2 × 150

3 × 100

4 × 75

5 × 60

6 × 50

10 × 30

12 × 25

15 × 20

First multiples

300 · 600 (double) · 900 · 1,200 · 1,500 · 1,800 · 2,100 · 2,400 · 2,700 · 3,000

Sums & aliquot sequence

As consecutive integers: 99 + 100 + 101 58 + 59 + 60 + 61 + 62 34 + 35 + … + 41 13 + 14 + … + 27

Aliquot sequence: 300 → 568 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√300 = [17; (3, 8, 3, 34)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three hundred
Ordinal: 300th
Roman numeral: CCC
Binary: 100101100
Octal: 454
Hexadecimal: 0x12C
Base64: ASw=
One's complement: 65,235 (16-bit)
Scientific notation: 3 × 10²
As a duration: 300 s = 5 minutes

In other bases

ternary (3) 102010

quaternary (4) 10230

quinary (5) 2200

senary (6) 1220

septenary (7) 606

nonary (9) 363

undecimal (11) 253

duodecimal (12) 210

tridecimal (13) 1a1

tetradecimal (14) 176

pentadecimal (15) 150

Palindromic in base 7, base 8, base 9, base 13

As an angle

300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓍢𓍢𓍢
Greek (Milesian): τʹ
Mayan (base 20): 𝋯·𝋠
Chinese: 三百
Chinese (financial): 參佰

In other modern scripts

Eastern Arabic ٣٠٠ Devanagari ३०० Bengali ৩০০ Tamil ௩௦௦ Thai ๓๐๐ Tibetan ༣༠༠ Khmer ៣០០ Lao ໓໐໐ Burmese ၃၀၀

Digit at this position in famous constants

π — Pi (π): Digit 300 = 7
e — Euler's number (e): Digit 300 = 6
φ — Golden ratio (φ): Digit 300 = 6
√2 — Pythagoras's (√2): Digit 300 = 8
ln 2 — Natural log of 2: Digit 300 = 4
γ — Euler-Mascheroni (γ): Digit 300 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 300, here are decompositions:

7 + 293 = 300
17 + 283 = 300
19 + 281 = 300
23 + 277 = 300
29 + 271 = 300
31 + 269 = 300
37 + 263 = 300
43 + 257 = 300

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter I With Breve

U+012C

Uppercase letter (Lu)

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

Lookup U+012C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00012C

RGB(0, 1, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.44.

Address: 0.0.1.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.44

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

Musical pitch

Heard as a frequency, 300 Hz is closest to:

Concert pitch (A4 = 440 Hz): D4 (293.7 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): D♯4 (304.4 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): D♯4 (293.4 Hz, +38¢)

Food additive (E-number)

On an ingredients label, E300 is Ascorbic acid, an antioxidant or acidity regulator — vitamin C.

E-number reference (Wikipedia) ↗