Number

356

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

Arithmetic Number Ascending Digits Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Year

Historical context — 356 AD

Calendar year

Year 356 (CCCLVI) was a leap year starting on Monday of the Julian calendar.

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

Historical context — 356 BC

Calendar year

Year 356 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: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 356
Ended on: Monday
December 31, 356
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: 1,670
1670 years before 2026.

In other calendars

Hebrew: 4116 / 4117 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 899 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 348 / 349 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 278 / 277 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 14
Digit product: 90
Digital root: 5
Palindrome: No
Bit width: 9 bits
Reversed: 653
Recamán's sequence: a(536) = 356
Square (n²): 126,736
Cube (n³): 45,118,016
Divisor count: 6
σ(n) — sum of divisors: 630
φ(n) — Euler's totient: 176
Sum of prime factors: 93

Primality

Prime factorization: 2 ² × 89

Nearest primes: 353 (−3) · 359 (+3)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 89 · 178 (half) · 356

Aliquot sum (sum of proper divisors): 274

Factor pairs (a × b = 356)

1 × 356

2 × 178

4 × 89

First multiples

356 · 712 (double) · 1,068 · 1,424 · 1,780 · 2,136 · 2,492 · 2,848 · 3,204 · 3,560

Sums & aliquot sequence

As a sum of two squares: 10² + 16²

As consecutive integers: 41 + 42 + … + 48

Aliquot sequence: 356 → 274 → 140 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: three hundred fifty-six
Ordinal: 356th
Roman numeral: CCCLVI
Binary: 101100100
Octal: 544
Hexadecimal: 0x164
Base64: AWQ=
One's complement: 65,179 (16-bit)

In other bases

ternary (3) 111012

quaternary (4) 11210

quinary (5) 2411

senary (6) 1352

septenary (7) 1016

nonary (9) 435

undecimal (11) 2a4

duodecimal (12) 258

tridecimal (13) 215

tetradecimal (14) 1b6

pentadecimal (15) 18b

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τνϛʹ
Mayan (base 20): 𝋱·𝋰
Chinese: 三百五十六
Chinese (financial): 參佰伍拾陸

In other modern scripts

Eastern Arabic ٣٥٦ Devanagari ३५६ Bengali ৩৫৬ Tamil ௩௫௬ Thai ๓๕๖ Tibetan ༣༥༦ Khmer ៣៥៦ Lao ໓໕໖ Burmese ၃၅၆

Digit at this position in famous constants

π — Pi (π): Digit 356 = 5
e — Euler's number (e): Digit 356 = 1
φ — Golden ratio (φ): Digit 356 = 8
√2 — Pythagoras's (√2): Digit 356 = 9
ln 2 — Natural log of 2: Digit 356 = 2
γ — Euler-Mascheroni (γ): Digit 356 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 356, here are decompositions:

3 + 353 = 356
7 + 349 = 356
19 + 337 = 356
43 + 313 = 356
73 + 283 = 356
79 + 277 = 356
127 + 229 = 356
157 + 199 = 356

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter T With Caron

U+0164

Uppercase letter (Lu)

UTF-8 encoding: C5 A4 (2 bytes).

Lookup U+0164 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000164

RGB(0, 1, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.100.

Address: 0.0.1.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.100

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000000356

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000000356 ↗