Number

348

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

348 (three hundred forty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 29. Its proper divisors sum to 492, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXLVIII and in binary, 101011100.

Abundant Number Arithmetic Number Ascending Digits Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360

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Historical context — 348 AD

Calendar year

Year 348 (CCCXLVIII) was a leap year starting on Friday of the Julian calendar.

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

Historical context — 348 BC

Calendar year

Year 348 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 348
Ended on: Friday
December 31, 348
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 340s
340–349
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,678
1678 years before 2026.

In other calendars

Hebrew: 4108 / 4109 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 891 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 340 / 341 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 270 / 269 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 843
Recamán's sequence: a(552) = 348
Square (n²): 121,104
Cube (n³): 42,144,192
Divisor count: 12
σ(n) — sum of divisors: 840
φ(n) — Euler's totient: 112
Sum of prime factors: 36

Primality

Prime factorization: 2 ² × 3 × 29

Nearest primes: 347 (−1) · 349 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 (half) · 348

Aliquot sum (sum of proper divisors): 492

Factor pairs (a × b = 348)

1 × 348

2 × 174

3 × 116

4 × 87

6 × 58

12 × 29

First multiples

348 · 696 (double) · 1,044 · 1,392 · 1,740 · 2,088 · 2,436 · 2,784 · 3,132 · 3,480

Sums & aliquot sequence

As consecutive integers: 115 + 116 + 117 40 + 41 + … + 47 3 + 4 + … + 26

Aliquot sequence: 348 → 492 → 684 → 1,136 → 1,096 → 974 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√348 = [18; (1, 1, 1, 8, 1, 1, 1, 36)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three hundred forty-eight
Ordinal: 348th
Roman numeral: CCCXLVIII
Binary: 101011100
Octal: 534
Hexadecimal: 0x15C
Base64: AVw=
One's complement: 65,187 (16-bit)
Scientific notation: 3.48 × 10²
As a duration: 348 s = 5 minutes, 48 seconds

In other bases

ternary (3) 110220

quaternary (4) 11130

quinary (5) 2343

senary (6) 1340

septenary (7) 1005

nonary (9) 426

undecimal (11) 297

duodecimal (12) 250

tridecimal (13) 20a

tetradecimal (14) 1ac

pentadecimal (15) 183

As an angle

348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τμηʹ
Mayan (base 20): 𝋱·𝋨
Chinese: 三百四十八
Chinese (financial): 參佰肆拾捌

In other modern scripts

Eastern Arabic ٣٤٨ Devanagari ३४८ Bengali ৩৪৮ Tamil ௩௪௮ Thai ๓๔๘ Tibetan ༣༤༨ Khmer ៣៤៨ Lao ໓໔໘ Burmese ၃၄၈

Digit at this position in famous constants

π — Pi (π): Digit 348 = 6
e — Euler's number (e): Digit 348 = 9
φ — Golden ratio (φ): Digit 348 = 4
√2 — Pythagoras's (√2): Digit 348 = 5
ln 2 — Natural log of 2: Digit 348 = 4
γ — Euler-Mascheroni (γ): Digit 348 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 348, here are decompositions:

11 + 337 = 348
17 + 331 = 348
31 + 317 = 348
37 + 311 = 348
41 + 307 = 348
67 + 281 = 348
71 + 277 = 348
79 + 269 = 348

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter S With Circumflex

U+015C

Uppercase letter (Lu)

UTF-8 encoding: C5 9C (2 bytes).

Lookup U+015C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00015C

RGB(0, 1, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.92.

Address: 0.0.1.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.92

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

Musical pitch

Heard as a frequency, 348 Hz is closest to:

Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, -6¢)
Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, +32¢)
Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, -5¢)