Number

354

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

354 (three hundred fifty-four) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 59. Its proper divisors sum to 366, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCLIV and in binary, 101100010.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366

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Historical context — 354 AD

Calendar year

Year 354 (CCCLIV) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 354 BC

Calendar year

Year 354 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: Friday
January 1, 354
Ended on: Friday
December 31, 354
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 350s
350–359
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,672
1672 years before 2026.

In other calendars

Hebrew: 4114 / 4115 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 897 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 346 / 347 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 276 / 275 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 60
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 453
Recamán's sequence: a(540) = 354
Square (n²): 125,316
Cube (n³): 44,361,864
Divisor count: 8
σ(n) — sum of divisors: 720
φ(n) — Euler's totient: 116
Sum of prime factors: 64

Primality

Prime factorization: 2 × 3 × 59

Nearest primes: 353 (−1) · 359 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 59 · 118 · 177 (half) · 354

Aliquot sum (sum of proper divisors): 366

Factor pairs (a × b = 354)

1 × 354

2 × 177

3 × 118

6 × 59

First multiples

354 · 708 (double) · 1,062 · 1,416 · 1,770 · 2,124 · 2,478 · 2,832 · 3,186 · 3,540

Sums & aliquot sequence

As consecutive integers: 117 + 118 + 119 87 + 88 + 89 + 90 24 + 25 + … + 35

Aliquot sequence: 354 → 366 → 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 — unresolved within range

Continued fraction of √n

√354 = [18; (1, 4, 2, 2, 18, 2, 2, 4, 1, 36)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: three hundred fifty-four
Ordinal: 354th
Roman numeral: CCCLIV
Binary: 101100010
Octal: 542
Hexadecimal: 0x162
Base64: AWI=
One's complement: 65,181 (16-bit)
Scientific notation: 3.54 × 10²
As a duration: 354 s = 5 minutes, 54 seconds

In other bases

ternary (3) 111010

quaternary (4) 11202

quinary (5) 2404

senary (6) 1350

septenary (7) 1014

nonary (9) 433

undecimal (11) 2a2

duodecimal (12) 256

tridecimal (13) 213

tetradecimal (14) 1b4

pentadecimal (15) 189

Palindromic in base 11

As an angle

354°

354° ≈ 6.178 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): τνδʹ
Mayan (base 20): 𝋱·𝋮
Chinese: 三百五十四
Chinese (financial): 參佰伍拾肆

In other modern scripts

Eastern Arabic ٣٥٤ Devanagari ३५४ Bengali ৩৫৪ Tamil ௩௫௪ Thai ๓๕๔ Tibetan ༣༥༤ Khmer ៣៥៤ Lao ໓໕໔ Burmese ၃၅၄

Digit at this position in famous constants

π — Pi (π): Digit 354 = 9
e — Euler's number (e): Digit 354 = 3
φ — Golden ratio (φ): Digit 354 = 4
√2 — Pythagoras's (√2): Digit 354 = 5
ln 2 — Natural log of 2: Digit 354 = 2
γ — Euler-Mascheroni (γ): Digit 354 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 354, here are decompositions:

5 + 349 = 354
7 + 347 = 354
17 + 337 = 354
23 + 331 = 354
37 + 317 = 354
41 + 313 = 354
43 + 311 = 354
47 + 307 = 354

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter T With Cedilla

U+0162

Uppercase letter (Lu)

UTF-8 encoding: C5 A2 (2 bytes).

Lookup U+0162 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000162

RGB(0, 1, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.98.

Address: 0.0.1.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.98

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

NANP area code 354

The number 354 is an active NANP area code (North American Numbering Plan).

Primary area: Quebec City
Region: Québec
Country: Canada

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 354 ↗

Musical pitch

Heard as a frequency, 354 Hz is closest to:

Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): F♯4 (362 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, +25¢)