Number

378

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

378 (three hundred seventy-eight) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 7. Its proper divisors sum to 582, more than the number itself, making it an abundant number. It is the 27th triangular number. Written other ways, in Roman numerals it is CCCLXXVIII and in binary, 101111010.

Abundant Number Arithmetic Number Ascending Digits Cake Number Evil Number Harshad / Niven Hexagonal Practical Number Recamán's Sequence Self Number Semiperfect Number Smith Number Triangular Year

Interestingness

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11 notable facts · grade A

366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390

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Historical context — 378 AD

Calendar year

Year 378 (CCCLXXVIII) was a common year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 378 BC

Calendar year

Year 378 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Sunday
January 1, 378
Ended on: Sunday
December 31, 378
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 370s
370–379
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,648
1648 years before 2026.

In other calendars

Hebrew: 4138 / 4139 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 921 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 370 / 371 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 300 / 299 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 873
Recamán's sequence: a(116) = 378
Square (n²): 142,884
Cube (n³): 54,010,152
Divisor count: 16
σ(n) — sum of divisors: 960
φ(n) — Euler's totient: 108
Sum of prime factors: 18

Primality

Prime factorization: 2 × 3 ³ × 7

Nearest primes: 373 (−5) · 379 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 126 · 189 (half) · 378

Aliquot sum (sum of proper divisors): 582

Factor pairs (a × b = 378)

1 × 378

2 × 189

3 × 126

6 × 63

7 × 54

9 × 42

14 × 27

18 × 21

First multiples

378 · 756 (double) · 1,134 · 1,512 · 1,890 · 2,268 · 2,646 · 3,024 · 3,402 · 3,780

Sums & aliquot sequence

As consecutive integers: 125 + 126 + 127 93 + 94 + 95 + 96 51 + 52 + … + 57 38 + 39 + … + 46

Aliquot sequence: 378 → 582 → 594 → 846 → 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 → 10,820 — unresolved within range

Continued fraction of √n

√378 = [19; (2, 3, 1, 4, 1, 3, 2, 38)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three hundred seventy-eight
Ordinal: 378th
Roman numeral: CCCLXXVIII
Binary: 101111010
Octal: 572
Hexadecimal: 0x17A
Base64: AXo=
One's complement: 65,157 (16-bit)
Scientific notation: 3.78 × 10²
As a duration: 378 s = 6 minutes, 18 seconds

In other bases

ternary (3) 112000

quaternary (4) 11322

quinary (5) 3003

senary (6) 1430

septenary (7) 1050

nonary (9) 460

undecimal (11) 314

duodecimal (12) 276

tridecimal (13) 231

tetradecimal (14) 1d0

pentadecimal (15) 1a3

Palindromic in base 5

As an angle

378° = 1 × 360° + 18°

18° ≈ 0.314 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τοηʹ
Mayan (base 20): 𝋲·𝋲
Chinese: 三百七十八
Chinese (financial): 參佰柒拾捌

In other modern scripts

Eastern Arabic ٣٧٨ Devanagari ३७८ Bengali ৩৭৮ Tamil ௩௭௮ Thai ๓๗๘ Tibetan ༣༧༨ Khmer ៣៧៨ Lao ໓໗໘ Burmese ၃၇၈

Digit at this position in famous constants

π — Pi (π): Digit 378 = 6
e — Euler's number (e): Digit 378 = 4
φ — Golden ratio (φ): Digit 378 = 8
√2 — Pythagoras's (√2): Digit 378 = 5
ln 2 — Natural log of 2: Digit 378 = 0
γ — Euler-Mascheroni (γ): Digit 378 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 378, here are decompositions:

5 + 373 = 378
11 + 367 = 378
19 + 359 = 378
29 + 349 = 378
31 + 347 = 378
41 + 337 = 378
47 + 331 = 378
61 + 317 = 378

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Z With Acute

U+017A

Lowercase letter (Ll)

UTF-8 encoding: C5 BA (2 bytes).

Lookup U+017A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00017A

RGB(0, 1, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.122.

Address: 0.0.1.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.122

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

Musical pitch

Heard as a frequency, 378 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯4 (370 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): G4 (383.6 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): G4 (369.7 Hz, +38¢)