Number

1,378

1,378 is a composite number, even, a calendar year.

Ascending Digits Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Triangular Year

Notable events — 1378 AD

Sep 20 The Western Schism begins as rival popes are elected in Rome and Avignon.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1378
Ended on: Thursday
December 31, 1378
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1370s
1370–1379
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 648
648 years before 2026.

In other calendars

Hebrew: 5138 / 5139 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 779 / 780 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: 1921 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 756 / 757 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1370 / 1371 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1300 / 1299 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 168
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 8,731
Recamán's sequence: a(8,372) = 1,378
Square (n²): 1,898,884
Cube (n³): 2,616,662,152
Divisor count: 8
σ(n) — sum of divisors: 2,268
φ(n) — Euler's totient: 624
Sum of prime factors: 68

Primality

Prime factorization: 2 × 13 × 53

Nearest primes: 1,373 (−5) · 1,381 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 53 · 106 · 689 (half) · 1378

Aliquot sum (sum of proper divisors): 890

Factor pairs (a × b = 1,378)

1 × 1378

2 × 689

13 × 106

26 × 53

First multiples

1,378 · 2,756 (double) · 4,134 · 5,512 · 6,890 · 8,268 · 9,646 · 11,024 · 12,402 · 13,780

Sums & aliquot sequence

As a sum of two squares: 3² + 37² = 17² + 33²

As consecutive integers: 343 + 344 + 345 + 346 100 + 101 + … + 112 1 + 2 + … + 52

Aliquot sequence: 1,378 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: one thousand three hundred seventy-eight
Ordinal: 1378th
Roman numeral: MCCCLXXVIII
Binary: 10101100010
Octal: 2542
Hexadecimal: 0x562
Base64: BWI=
One's complement: 64,157 (16-bit)

In other bases

ternary (3) 1220001

quaternary (4) 111202

quinary (5) 21003

senary (6) 10214

septenary (7) 4006

nonary (9) 1801

undecimal (11) 1043

duodecimal (12) 96a

tridecimal (13) 820

tetradecimal (14) 706

pentadecimal (15) 61d

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατοηʹ
Mayan (base 20): 𝋣·𝋨·𝋲
Chinese: 一千三百七十八
Chinese (financial): 壹仟參佰柒拾捌

In other modern scripts

Eastern Arabic ١٣٧٨ Devanagari १३७८ Bengali ১৩৭৮ Tamil ௧௩௭௮ Thai ๑๓๗๘ Tibetan ༡༣༧༨ Khmer ១៣៧៨ Lao ໑໓໗໘ Burmese ၁၃၇၈

Digit at this position in famous constants

π — Pi (π): Digit 1,378 = 3
e — Euler's number (e): Digit 1,378 = 5
φ — Golden ratio (φ): Digit 1,378 = 5
√2 — Pythagoras's (√2): Digit 1,378 = 3
ln 2 — Natural log of 2: Digit 1,378 = 2
γ — Euler-Mascheroni (γ): Digit 1,378 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1378, here are decompositions:

5 + 1373 = 1378
11 + 1367 = 1378
17 + 1361 = 1378
59 + 1319 = 1378
71 + 1307 = 1378
89 + 1289 = 1378
101 + 1277 = 1378
149 + 1229 = 1378

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Small Letter Ben

U+0562

Lowercase letter (Ll)

UTF-8 encoding: D5 A2 (2 bytes).

Lookup U+0562 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000562

RGB(0, 5, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.98.

Address: 0.0.5.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.98

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

Position in π

The digit sequence 1378 first appears in π at position 859 of the decimal expansion (the 859ordinal-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 1378 on Pi Search ↗