Number

351

351 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Harshad / Niven Odious Number Padovan Number Pernicious Number Recamán's Sequence Triangular Year

Historical context — 351 AD

Calendar year

Year 351 (CCCLI) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 351 BC

Calendar year

Year 351 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: 52
Started on: Monday
January 1, 351
Ended on: Monday
December 31, 351
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 350s
350–359
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,675
1675 years before 2026.

In other calendars

Hebrew: 4111 / 4112 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 894 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 343 / 344 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 273 / 272 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 9
Digit product: 15
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 153
Recamán's sequence: a(546) = 351
Square (n²): 123,201
Cube (n³): 43,243,551
Divisor count: 8
σ(n) — sum of divisors: 560
φ(n) — Euler's totient: 216
Sum of prime factors: 22

Primality

Prime factorization: 3 ³ × 13

Nearest primes: 349 (−2) · 353 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 9 · 13 · 27 · 39 · 117 · 351

Aliquot sum (sum of proper divisors): 209

Factor pairs (a × b = 351)

1 × 351

3 × 117

9 × 39

13 × 27

First multiples

351 · 702 (double) · 1,053 · 1,404 · 1,755 · 2,106 · 2,457 · 2,808 · 3,159 · 3,510

Sums & aliquot sequence

As consecutive integers: 175 + 176 116 + 117 + 118 56 + 57 + 58 + 59 + 60 + 61 35 + 36 + … + 43

Aliquot sequence: 351 → 209 → 31 → 1 → 0 — terminates at zero

Representations

In words: three hundred fifty-one
Ordinal: 351st
Roman numeral: CCCLI
Binary: 101011111
Octal: 537
Hexadecimal: 0x15F
Base64: AV8=
One's complement: 65,184 (16-bit)

In other bases

ternary (3) 111000

quaternary (4) 11133

quinary (5) 2401

senary (6) 1343

septenary (7) 1011

nonary (9) 430

undecimal (11) 29a

duodecimal (12) 253

tridecimal (13) 210

tetradecimal (14) 1b1

pentadecimal (15) 186

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): τναʹ
Mayan (base 20): 𝋱·𝋫
Chinese: 三百五十一
Chinese (financial): 參佰伍拾壹

In other modern scripts

Eastern Arabic ٣٥١ Devanagari ३५१ Bengali ৩৫১ Tamil ௩௫௧ Thai ๓๕๑ Tibetan ༣༥༡ Khmer ៣៥១ Lao ໓໕໑ Burmese ၃၅၁

Digit at this position in famous constants

π — Pi (π): Digit 351 = 6
e — Euler's number (e): Digit 351 = 0
φ — Golden ratio (φ): Digit 351 = 1
√2 — Pythagoras's (√2): Digit 351 = 8
ln 2 — Natural log of 2: Digit 351 = 5
γ — Euler-Mascheroni (γ): Digit 351 = 0

Also seen as

Unicode codepoint

Latin Small Letter S With Cedilla

U+015F

Lowercase letter (Ll)

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

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

Hex color

#00015F

RGB(0, 1, 95)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.95.

Address: 0.0.1.95
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.95

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

NANP area code 351

The number 351 is an active NANP area code (North American Numbering Plan).

Primary area: Northeastern Massachusetts
Region: Massachusetts
Country: United States

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 351 ↗