Number

1,408

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

1,408 (one thousand four hundred eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 11. Its proper divisors sum to 1,652, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDVIII and in binary, 10110000000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,396 1,397 1,398 1,399 1,400 1,401 1,402 1,403 1,404 1,405 1,406 1,407 1,408 1,409 1,410 1,411 1,412 1,413 1,414 1,415 1,416 1,417 1,418 1,419 1,420

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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 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

Continued fraction of √n

√1,408 = [37; (1, 1, 10, 4, 1, 1, 2, 7, 1, 17, 1, 7, 2, 1, 1, 4, 10, 1, 1, 74)]

Period length 20 — the block in parentheses repeats forever.

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)
Scientific notation: 1.408 × 10³
As a duration: 1,408 s = 23 minutes, 28 seconds

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

As an angle

1,408° = 3 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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

Armenian Small Letter Reh

U+0580

Lowercase letter (Ll)

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

Lookup U+0580 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,408 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, -49¢ — about midway to F6)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +15¢)

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.

Look up 1408 on Pi Search ↗