1,438
1,438 is a composite number, even, a calendar year.
1,438 (one thousand four hundred thirty-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 719. Written other ways, in Roman numerals it is MCDXXXVIII and in binary, 10110011110.
Interestingness
Historical context — 1438 AD
Calendar year
Year 1438 (MCDXXXVIII) was a common year starting on Wednesday of the Julian calendar.
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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, 1438
- Ended on
-
Monday
December 31, 1438
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1430s
1430–1439
- Century
-
15th century
1401–1500
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
588
588 years before 2026.
In other calendars
- Hebrew
-
5198 / 5199 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
841 / 842 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1981 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
816 / 817 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1430 / 1431 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1360 / 1359 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 96
- Digital root
- 7
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 8,341
- Recamán's sequence
- a(1,684) = 1,438
- Square (n²)
- 2,067,844
- Cube (n³)
- 2,973,559,672
- Divisor count
- 4
- σ(n) — sum of divisors
- 2,160
- φ(n) — Euler's totient
- 718
- Sum of prime factors
- 721
Primality
Prime factorization: 2 × 719
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,438 = [37; (1, 11, 1, 1, 1, 7, 1, 3, 3, 24, 1, 36, 1, 24, 3, 3, 1, 7, 1, 1, 1, 11, 1, 74)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one thousand four hundred thirty-eight
- Ordinal
- 1438th
- Roman numeral
- MCDXXXVIII
- Binary
- 10110011110
- Octal
- 2636
- Hexadecimal
- 0x59E
- Base64
- BZ4=
- One's complement
- 64,097 (16-bit)
- Scientific notation
- 1.438 × 10³
- As a duration
- 1,438 s = 23 minutes, 58 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αυληʹ
- Mayan (base 20)
- 𝋣·𝋫·𝋲
- Chinese
- 一千四百三十八
- Chinese (financial)
- 壹仟肆佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,438 = 5
- e — Euler's number (e)
- Digit 1,438 = 4
- φ — Golden ratio (φ)
- Digit 1,438 = 5
- √2 — Pythagoras's (√2)
- Digit 1,438 = 4
- ln 2 — Natural log of 2
- Digit 1,438 = 4
- γ — Euler-Mascheroni (γ)
- Digit 1,438 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1438, here are decompositions:
- 5 + 1433 = 1438
- 11 + 1427 = 1438
- 29 + 1409 = 1438
- 71 + 1367 = 1438
- 131 + 1307 = 1438
- 137 + 1301 = 1438
- 149 + 1289 = 1438
- 179 + 1259 = 1438
Showing the first eight; more decompositions exist.
UTF-8 encoding: D6 9E (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.158.
- Address
- 0.0.5.158
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.158
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,438 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, -50¢ — about midway to F6)
- Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, -12¢)
- Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, -49¢ — about midway to F♯6)
The digit sequence 1438 first appears in π at position 9,640 of the decimal expansion (the 9,640ordinal-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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.