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Number

1,408

1,408 is a composite number, even, a calendar year.

Abundant Number Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1408 AD

Calendar year

Year 1408 (MCDVIII) was a leap year starting on Sunday of the Julian 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
Friday
January 1, 1408
Ended on
Saturday
December 31, 1408
Friday the 13ths
1
One Friday the 13th this year.
Decade
1400s
1400–1409
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
618
618 years before 2026.

In other calendars

Hebrew
5168 / 5169 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
810 / 811 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1951 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
786 / 787 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1400 / 1401 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1330 / 1329 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
8,041
Recamán's sequence
a(8,312) = 1,408
Square (n²)
1,982,464
Cube (n³)
2,791,309,312
Divisor count
16
σ(n) — sum of divisors
3,060
φ(n) — Euler's totient
640
Sum of prime factors
25

Primality

Prime factorization: 2 7 × 11

Nearest primes: 1,399 (−9) · 1,409 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 128 · 176 · 352 · 704 (half) · 1408
Aliquot sum (sum of proper divisors): 1,652
Factor pairs (a × b = 1,408)
1 × 1408
2 × 704
4 × 352
8 × 176
11 × 128
16 × 88
22 × 64
32 × 44
First multiples
1,408 · 2,816 (double) · 4,224 · 5,632 · 7,040 · 8,448 · 9,856 · 11,264 · 12,672 · 14,080

Sums & aliquot sequence

As consecutive integers: 123 + 124 + … + 133
Aliquot sequence: 1,408 1,652 1,708 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand four hundred eight
Ordinal
1408th
Roman numeral
MCDVIII
Binary
10110000000
Octal
2600
Hexadecimal
0x580
Base64
BYA=
One's complement
64,127 (16-bit)
In other bases
ternary (3) 1221011
quaternary (4) 112000
quinary (5) 21113
senary (6) 10304
septenary (7) 4051
nonary (9) 1834
undecimal (11) 1070
duodecimal (12) 994
tridecimal (13) 844
tetradecimal (14) 728
pentadecimal (15) 63d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυηʹ
Mayan (base 20)
𝋣·𝋪·𝋨
Chinese
一千四百零八
Chinese (financial)
壹仟肆佰零捌
In other modern scripts
Eastern Arabic ١٤٠٨ Devanagari १४०८ Bengali ১৪০৮ Tamil ௧௪௦௮ Thai ๑๔๐๘ Tibetan ༡༤༠༨ Khmer ១៤០៨ Lao ໑໔໐໘ Burmese ၁၄၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,408 = 4
e — Euler's number (e)
Digit 1,408 = 6
φ — Golden ratio (φ)
Digit 1,408 = 4
√2 — Pythagoras's (√2)
Digit 1,408 = 9
ln 2 — Natural log of 2
Digit 1,408 = 0
γ — Euler-Mascheroni (γ)
Digit 1,408 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1408, here are decompositions:

  • 41 + 1367 = 1408
  • 47 + 1361 = 1408
  • 89 + 1319 = 1408
  • 101 + 1307 = 1408
  • 107 + 1301 = 1408
  • 131 + 1277 = 1408
  • 149 + 1259 = 1408
  • 179 + 1229 = 1408

Showing the first eight; more decompositions exist.

Unicode codepoint
ր
Armenian Small Letter Reh
U+0580
Lowercase letter (Ll)

UTF-8 encoding: D6 80 (2 bytes).

Hex color
#000580
RGB(0, 5, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.128.

Address
0.0.5.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.128

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

Position in π

The digit sequence 1408 first appears in π at position 8,434 of the decimal expansion (the 8,434ordinal-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.