1,024
1,024 is a composite number, even, a calendar year.
One thousand twenty-four equals (2^{10}). It is one kibibyte (KiB), and is the value historically (and incorrectly) called a kilobyte.
Historical context — 1024 AD
Calendar year
Year 1024 (MXXIV) was a leap year starting on Wednesday of the Julian 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
-
53
Long year: contains 53 ISO weeks.
- Started on
-
Thursday
January 1, 1024
- Ended on
-
Friday
December 31, 1024
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1020s
1020–1029
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
1,002
1002 years before 2026.
In other calendars
- Hebrew
-
4784 / 4785 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
414 / 415 AH
Lunar calendar; year spans differ from Gregorian.
- 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
-
1567 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
402 / 403 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1016 / 1017 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
946 / 945 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 4,201
- Recamán's sequence
- a(4,371) = 1,024
- Square (n²)
- 1,048,576
- Cube (n³)
- 1,073,741,824
- Square root (√n)
- 32
- Divisor count
- 11
- σ(n) — sum of divisors
- 2,047
- φ(n) — Euler's totient
- 512
- Sum of prime factors
- 20
Primality
Prime factorization: 2 10
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one thousand twenty-four
- Ordinal
- 1024th
- Roman numeral
- MXXIV
- Binary
- 10000000000
- Octal
- 2000
- Hexadecimal
- 0x400
- Base64
- BAA=
- One's complement
- 64,511 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ακδʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋤
- Chinese
- 一千零二十四
- Chinese (financial)
- 壹仟零貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,024 = 8
- e — Euler's number (e)
- Digit 1,024 = 8
- φ — Golden ratio (φ)
- Digit 1,024 = 2
- √2 — Pythagoras's (√2)
- Digit 1,024 = 6
- ln 2 — Natural log of 2
- Digit 1,024 = 4
- γ — Euler-Mascheroni (γ)
- Digit 1,024 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024, here are decompositions:
- 3 + 1021 = 1024
- 5 + 1019 = 1024
- 11 + 1013 = 1024
- 41 + 983 = 1024
- 47 + 977 = 1024
- 53 + 971 = 1024
- 71 + 953 = 1024
- 83 + 941 = 1024
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 80 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.0.
- Address
- 0.0.4.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 1024 first appears in π at position 12,735 of the decimal expansion (the 12,735ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.