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Number

345

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

Arithmetic Number Ascending Digits Consecutive Digits Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year

Historical context — 345 AD

Calendar year

The Year 345 (CCCXLV) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 345 BC

Calendar year

Year 345 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Monday
January 1, 345
Ended on
Monday
December 31, 345
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
1,681
1681 years before 2026.

In other calendars

Hebrew
4105 / 4106 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
888 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
337 / 338 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
267 / 266 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
60
Digital root
3
Palindrome
No
Bit width
9 bits
Reversed
543
Recamán's sequence
a(558) = 345
Square (n²)
119,025
Cube (n³)
41,063,625
Divisor count
8
σ(n) — sum of divisors
576
φ(n) — Euler's totient
176
Sum of prime factors
31

Primality

Prime factorization: 3 × 5 × 23

Nearest primes: 337 (−8) · 347 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 5 · 15 · 23 · 69 · 115 · 345
Aliquot sum (sum of proper divisors): 231
Factor pairs (a × b = 345)
1 × 345
3 × 115
5 × 69
15 × 23
First multiples
345 · 690 (double) · 1,035 · 1,380 · 1,725 · 2,070 · 2,415 · 2,760 · 3,105 · 3,450

Sums & aliquot sequence

As consecutive integers: 172 + 173 114 + 115 + 116 67 + 68 + 69 + 70 + 71 55 + 56 + 57 + 58 + 59 + 60
Aliquot sequence: 345 231 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
three hundred forty-five
Ordinal
345th
Roman numeral
CCCXLV
Binary
101011001
Octal
531
Hexadecimal
0x159
Base64
AVk=
One's complement
65,190 (16-bit)
In other bases
ternary (3) 110210
quaternary (4) 11121
quinary (5) 2340
senary (6) 1333
septenary (7) 1002
nonary (9) 423
undecimal (11) 294
duodecimal (12) 249
tridecimal (13) 207
tetradecimal (14) 1a9
pentadecimal (15) 180

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
τμεʹ
Mayan (base 20)
𝋱·𝋥
Chinese
三百四十五
Chinese (financial)
參佰肆拾伍
In other modern scripts
Eastern Arabic ٣٤٥ Devanagari ३४५ Bengali ৩৪৫ Tamil ௩௪௫ Thai ๓๔๕ Tibetan ༣༤༥ Khmer ៣៤៥ Lao ໓໔໕ Burmese ၃၄၅

Digit at this position in famous constants

π — Pi (π)
Digit 345 = 1
e — Euler's number (e)
Digit 345 = 6
φ — Golden ratio (φ)
Digit 345 = 3
√2 — Pythagoras's (√2)
Digit 345 = 4
ln 2 — Natural log of 2
Digit 345 = 8
γ — Euler-Mascheroni (γ)
Digit 345 = 1

Also seen as

Unicode codepoint
ř
Latin Small Letter R With Caron
U+0159
Lowercase letter (Ll)

UTF-8 encoding: C5 99 (2 bytes).

Hex color
#000159
RGB(0, 1, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.89.

Address
0.0.1.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.89

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

NANP area code 345

The number 345 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
Cayman Islands
Country
Cayman Islands

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

Calculator-display word

Type 345 on a seven-segment calculator, flip it 180°, and the display reads:

ShE

A staple of calculator humor since pocket calculators put digits in front of bored students.