Number

396

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

396 (three hundred ninety-six) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 11. Its proper divisors sum to 696, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXCVI and in binary, 110001100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Nonagonal Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408

less more

Historical context — 396 AD

Calendar year

Year 396 (CCCXCVI) was a leap year starting on Tuesday of the Julian calendar.

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

Historical context — 396 BC

Calendar year

Year 396 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 396
Ended on: Tuesday
December 31, 396
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 390s
390–399
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,630
1630 years before 2026.

In other calendars

Hebrew: 4156 / 4157 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 939 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 388 / 389 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 318 / 317 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 162
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 693
Recamán's sequence: a(2,460) = 396
Square (n²): 156,816
Cube (n³): 62,099,136
Divisor count: 18
σ(n) — sum of divisors: 1,092
φ(n) — Euler's totient: 120
Sum of prime factors: 21

Primality

Prime factorization: 2 ² × 3 ² × 11

Nearest primes: 389 (−7) · 397 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 (half) · 396

Aliquot sum (sum of proper divisors): 696

Factor pairs (a × b = 396)

1 × 396

2 × 198

3 × 132

4 × 99

6 × 66

9 × 44

11 × 36

12 × 33

18 × 22

First multiples

396 · 792 (double) · 1,188 · 1,584 · 1,980 · 2,376 · 2,772 · 3,168 · 3,564 · 3,960

Sums & aliquot sequence

As consecutive integers: 131 + 132 + 133 46 + 47 + … + 53 40 + 41 + … + 48 31 + 32 + … + 41

Aliquot sequence: 396 → 696 → 1,104 → 1,872 → 3,770 → 3,790 → 3,050 → 2,716 → 2,772 → 5,964 → 10,164 → 19,628 → 19,684 → 22,876 → 26,404 → 30,044 → 33,796 — unresolved within range

Continued fraction of √n

√396 = [19; (1, 8, 1, 38)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three hundred ninety-six
Ordinal: 396th
Roman numeral: CCCXCVI
Binary: 110001100
Octal: 614
Hexadecimal: 0x18C
Base64: AYw=
One's complement: 65,139 (16-bit)
Scientific notation: 3.96 × 10²
As a duration: 396 s = 6 minutes, 36 seconds

In other bases

ternary (3) 112200

quaternary (4) 12030

quinary (5) 3041

senary (6) 1500

septenary (7) 1104

nonary (9) 480

undecimal (11) 330

duodecimal (12) 290

tridecimal (13) 246

tetradecimal (14) 204

pentadecimal (15) 1b6

As an angle

396° = 1 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τϟϛʹ
Mayan (base 20): 𝋳·𝋰
Chinese: 三百九十六
Chinese (financial): 參佰玖拾陸

In other modern scripts

Eastern Arabic ٣٩٦ Devanagari ३९६ Bengali ৩৯৬ Tamil ௩௯௬ Thai ๓๙๖ Tibetan ༣༩༦ Khmer ៣៩៦ Lao ໓໙໖ Burmese ၃၉၆

Digit at this position in famous constants

π — Pi (π): Digit 396 = 1
e — Euler's number (e): Digit 396 = 1
φ — Golden ratio (φ): Digit 396 = 1
√2 — Pythagoras's (√2): Digit 396 = 9
ln 2 — Natural log of 2: Digit 396 = 5
γ — Euler-Mascheroni (γ): Digit 396 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 396, here are decompositions:

7 + 389 = 396
13 + 383 = 396
17 + 379 = 396
23 + 373 = 396
29 + 367 = 396
37 + 359 = 396
43 + 353 = 396
47 + 349 = 396

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter D With Topbar

U+018C

Lowercase letter (Ll)

UTF-8 encoding: C6 8C (2 bytes).

Lookup U+018C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00018C

RGB(0, 1, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.140.

Address: 0.0.1.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.140

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

Musical pitch

Heard as a frequency, 396 Hz is closest to:

Concert pitch (A4 = 440 Hz): G4 (392 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): G♯4 (406.4 Hz, -45¢ — about midway to G4)
Baroque pitch (A4 = 415 Hz): G♯4 (391.7 Hz, +19¢)