Number

353

353 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Palindrome Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 353 AD

Calendar year

Year 353 (CCCLIII) was a common year starting on Friday of the Julian calendar.

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Historical context — 353 BC

Calendar year

Year 353 BC was a year of the pre-Julian Roman calendar.

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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, 353
Ended on: Thursday
December 31, 353
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 350s
350–359
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,673
1673 years before 2026.

In other calendars

Hebrew: 4113 / 4114 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 896 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 345 / 346 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 275 / 274 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 11
Digit product: 45
Digital root: 2
Palindrome: Yes
Bit width: 9 bits
Recamán's sequence: a(542) = 353
Square (n²): 124,609
Cube (n³): 43,986,977
Divisor count: 2
σ(n) — sum of divisors: 354
φ(n) — Euler's totient: 352

Primality

353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 353

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 353)

1 × 353

First multiples

353 · 706 (double) · 1,059 · 1,412 · 1,765 · 2,118 · 2,471 · 2,824 · 3,177 · 3,530

Sums & aliquot sequence

As a sum of two squares: 8² + 17²

As consecutive integers: 176 + 177

Representations

In words: three hundred fifty-three
Ordinal: 353rd
Roman numeral: CCCLIII
Binary: 101100001
Octal: 541
Hexadecimal: 0x161
Base64: AWE=
One's complement: 65,182 (16-bit)

In other bases

ternary (3) 111002

quaternary (4) 11201

quinary (5) 2403

senary (6) 1345

septenary (7) 1013

nonary (9) 432

undecimal (11) 2a1

duodecimal (12) 255

tridecimal (13) 212

tetradecimal (14) 1b3

pentadecimal (15) 188

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): τνγʹ
Mayan (base 20): 𝋱·𝋭
Chinese: 三百五十三
Chinese (financial): 參佰伍拾參

In other modern scripts

Eastern Arabic ٣٥٣ Devanagari ३५३ Bengali ৩৫৩ Tamil ௩௫௩ Thai ๓๕๓ Tibetan ༣༥༣ Khmer ៣៥៣ Lao ໓໕໓ Burmese ၃၅၃

Digit at this position in famous constants

π — Pi (π): Digit 353 = 8
e — Euler's number (e): Digit 353 = 7
φ — Golden ratio (φ): Digit 353 = 5
√2 — Pythagoras's (√2): Digit 353 = 7
ln 2 — Natural log of 2: Digit 353 = 0
γ — Euler-Mascheroni (γ): Digit 353 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 349 (gap of 4)
Next prime: 359 (gap of 6)

Pair status: cousin with 349, sexy with 359.

Unicode codepoint

Latin Small Letter S With Caron

U+0161

Lowercase letter (Ll)

UTF-8 encoding: C5 A1 (2 bytes).

Lookup U+0161 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000161

RGB(0, 1, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.97.

Address: 0.0.1.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.97

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