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Number

424

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

Deficient Number Evil Number Palindrome Recamán's Sequence Self Number Year

Historical context — 424 AD

Calendar year

Year 424 (CDXXIV) was a leap year starting on Tuesday of the Julian calendar.

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

Historical context — 424 BC

Calendar year

Year 424 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
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

Parity
Even
Digit count
3
Digit sum
10
Digit product
32
Digital root
1
Palindrome
Yes
Bit width
9 bits
Recamán's sequence
a(468) = 424
Square (n²)
179,776
Cube (n³)
76,225,024
Divisor count
8
σ(n) — sum of divisors
810
φ(n) — Euler's totient
208
Sum of prime factors
59

Primality

Prime factorization: 2 3 × 53

Nearest primes: 421 (−3) · 431 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 53 · 106 · 212 (half) · 424
Aliquot sum (sum of proper divisors): 386
Factor pairs (a × b = 424)
1 × 424
2 × 212
4 × 106
8 × 53
First multiples
424 · 848 (double) · 1,272 · 1,696 · 2,120 · 2,544 · 2,968 · 3,392 · 3,816 · 4,240

Sums & aliquot sequence

As a sum of two squares: 10² + 18²
As consecutive integers: 19 + 20 + … + 34
Aliquot sequence: 424 386 196 203 37 1 0 — terminates at zero

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)
In other bases
ternary (3) 120201
quaternary (4) 12220
quinary (5) 3144
senary (6) 1544
septenary (7) 1144
nonary (9) 521
undecimal (11) 356
duodecimal (12) 2b4
tridecimal (13) 268
tetradecimal (14) 224
pentadecimal (15) 1d4

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
In other modern scripts
Eastern Arabic ٤٢٤ Devanagari ४२४ Bengali ৪২৪ Tamil ௪௨௪ Thai ๔๒๔ Tibetan ༤༢༤ Khmer ៤២៤ Lao ໔໒໔ Burmese ၄၂၄

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 decomposition

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.

Unicode codepoint
ƨ
Latin Small Letter Tone Two
U+01A8
Lowercase letter (Ll)

UTF-8 encoding: C6 A8 (2 bytes).

Hex color
#0001A8
RGB(0, 1, 168)
IPv4 address

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000424
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.