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Number

398

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

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 398 AD

Calendar year

Year 398 (CCCXCVIII) was a common year starting on Friday of the Julian calendar.

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

Historical context — 398 BC

Calendar year

Year 398 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 398
Ended on
Thursday
December 31, 398
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
390s
390–399
Century
4th century
301–400
Millennium
1st millennium
1–1000
Years ago
1,628
1628 years before 2026.

In other calendars

Hebrew
4158 / 4159 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
941 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
390 / 391 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
320 / 319 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
20
Digit product
216
Digital root
2
Palindrome
No
Bit width
9 bits
Reversed
893
Recamán's sequence
a(2,456) = 398
Square (n²)
158,404
Cube (n³)
63,044,792
Divisor count
4
σ(n) — sum of divisors
600
φ(n) — Euler's totient
198
Sum of prime factors
201

Primality

Prime factorization: 2 × 199

Nearest primes: 397 (−1) · 401 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 199 (half) · 398
Aliquot sum (sum of proper divisors): 202
Factor pairs (a × b = 398)
1 × 398
2 × 199
First multiples
398 · 796 (double) · 1,194 · 1,592 · 1,990 · 2,388 · 2,786 · 3,184 · 3,582 · 3,980

Sums & aliquot sequence

As consecutive integers: 98 + 99 + 100 + 101
Aliquot sequence: 398 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
three hundred ninety-eight
Ordinal
398th
Roman numeral
CCCXCVIII
Binary
110001110
Octal
616
Hexadecimal
0x18E
Base64
AY4=
One's complement
65,137 (16-bit)
In other bases
ternary (3) 112202
quaternary (4) 12032
quinary (5) 3043
senary (6) 1502
septenary (7) 1106
nonary (9) 482
undecimal (11) 332
duodecimal (12) 292
tridecimal (13) 248
tetradecimal (14) 206
pentadecimal (15) 1b8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
τϟηʹ
Mayan (base 20)
𝋳·𝋲
Chinese
三百九十八
Chinese (financial)
參佰玖拾捌
In other modern scripts
Eastern Arabic ٣٩٨ Devanagari ३९८ Bengali ৩৯৮ Tamil ௩௯௮ Thai ๓๙๘ Tibetan ༣༩༨ Khmer ៣៩៨ Lao ໓໙໘ Burmese ၃၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 398 = 6
e — Euler's number (e)
Digit 398 = 1
φ — Golden ratio (φ)
Digit 398 = 9
√2 — Pythagoras's (√2)
Digit 398 = 8
ln 2 — Natural log of 2
Digit 398 = 6
γ — Euler-Mascheroni (γ)
Digit 398 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 398, here are decompositions:

  • 19 + 379 = 398
  • 31 + 367 = 398
  • 61 + 337 = 398
  • 67 + 331 = 398
  • 127 + 271 = 398
  • 157 + 241 = 398
  • 199 + 199 = 398
Unicode codepoint
Ǝ
Latin Capital Letter Reversed E
U+018E
Uppercase letter (Lu)

UTF-8 encoding: C6 8E (2 bytes).

Hex color
#00018E
RGB(0, 1, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.142.

Address
0.0.1.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.142

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
000000398
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.