424
424 is a composite number, even, a calendar year.
424 (four hundred twenty-four) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2³ × 53. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CDXXIV and in binary, 110101000.
Interestingness
Historical context — 424 AD
Calendar year
Year 424 (CDXXIV) was a leap year starting on Tuesday of the Julian calendar.
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Historical context — 424 BC
Calendar year
Year 424 BC was a year of the pre-Julian Roman calendar.
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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
-
Monday
January 1, 424
- Ended on
-
Tuesday
December 31, 424
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
420s
420–429
- Century
-
5th century
401–500
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,602
1602 years before 2026.
In other calendars
- Hebrew
-
4184 / 4185 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
967 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
416 / 417 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
346 / 345 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 3 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√424 = [20; (1, 1, 2, 4, 5, 1, 1, 1, 9, 1, 1, 1, 5, 4, 2, 1, 1, 40)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred twenty-four
- Ordinal
- 424th
- Roman numeral
- CDXXIV
- Binary
- 110101000
- Octal
- 650
- Hexadecimal
- 0x1A8
- Base64
- Aag=
- One's complement
- 65,111 (16-bit)
- Scientific notation
- 4.24 × 10²
- As a duration
- 424 s = 7 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- υκδʹ
- Mayan (base 20)
- 𝋡·𝋡·𝋤
- Chinese
- 四百二十四
- Chinese (financial)
- 肆佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 424 = 2
- e — Euler's number (e)
- Digit 424 = 3
- φ — Golden ratio (φ)
- Digit 424 = 4
- √2 — Pythagoras's (√2)
- Digit 424 = 0
- ln 2 — Natural log of 2
- Digit 424 = 8
- γ — Euler-Mascheroni (γ)
- Digit 424 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 424, here are decompositions:
- 3 + 421 = 424
- 5 + 419 = 424
- 23 + 401 = 424
- 41 + 383 = 424
- 71 + 353 = 424
- 107 + 317 = 424
- 113 + 311 = 424
- 131 + 293 = 424
Showing the first eight; more decompositions exist.
UTF-8 encoding: C6 A8 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.168.
- Address
- 0.0.1.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 424 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯4 (415.3 Hz, +36¢)
- Scientific pitch (C4 = 256 Hz): A4 (430.5 Hz, -26¢)
- Baroque pitch (A4 = 415 Hz): A4 (415 Hz, +37¢)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.