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167,328

167,328 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

167,328 (one hundred sixty-seven thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 7 × 83. Its proper divisors sum to 383,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28DA0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
823,761
Square (n²)
27,998,659,584
Cube (n³)
4,684,959,710,871,552
Divisor count
72
σ(n) — sum of divisors
550,368
φ(n) — Euler's totient
47,232
Sum of prime factors
106

Primality

Prime factorization: 2 5 × 3 2 × 7 × 83

Nearest primes: 167,317 (−11) · 167,329 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 32 · 36 · 42 · 48 · 56 · 63 · 72 · 83 · 84 · 96 · 112 · 126 · 144 · 166 · 168 · 224 · 249 · 252 · 288 · 332 · 336 · 498 · 504 · 581 · 664 · 672 · 747 · 996 · 1008 · 1162 · 1328 · 1494 · 1743 · 1992 · 2016 · 2324 · 2656 · 2988 · 3486 · 3984 · 4648 · 5229 · 5976 · 6972 · 7968 · 9296 · 10458 · 11952 · 13944 · 18592 · 20916 · 23904 · 27888 · 41832 · 55776 · 83664 (half) · 167328
Aliquot sum (sum of proper divisors): 383,040
Factor pairs (a × b = 167,328)
1 × 167328
2 × 83664
3 × 55776
4 × 41832
6 × 27888
7 × 23904
8 × 20916
9 × 18592
12 × 13944
14 × 11952
16 × 10458
18 × 9296
21 × 7968
24 × 6972
28 × 5976
32 × 5229
36 × 4648
42 × 3984
48 × 3486
56 × 2988
63 × 2656
72 × 2324
83 × 2016
84 × 1992
96 × 1743
112 × 1494
126 × 1328
144 × 1162
166 × 1008
168 × 996
224 × 747
249 × 672
252 × 664
288 × 581
332 × 504
336 × 498
First multiples
167,328 · 334,656 (double) · 501,984 · 669,312 · 836,640 · 1,003,968 · 1,171,296 · 1,338,624 · 1,505,952 · 1,673,280

Sums & aliquot sequence

As consecutive integers: 55,775 + 55,776 + 55,777 23,901 + 23,902 + … + 23,907 18,588 + 18,589 + … + 18,596 7,958 + 7,959 + … + 7,978
Aliquot sequence: 167,328 383,040 1,201,920 2,648,976 5,118,384 8,563,776 16,698,048 27,482,712 43,083,288 73,600,812 119,338,844 102,295,156 76,721,374 49,482,242 24,741,124 19,385,084 14,538,820 — unresolved within range

Continued fraction of √n

√167,328 = [409; (17, 2, 2, 6, 1, 9, 4, 3, 1, 203, 1, 3, 4, 9, 1, 6, 2, 2, 17, 818)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand three hundred twenty-eight
Ordinal
167328th
Binary
101000110110100000
Octal
506640
Hexadecimal
0x28DA0
Base64
Ao2g
One's complement
4,294,799,967 (32-bit)
Scientific notation
1.67328 × 10⁵
As a duration
167,328 s = 1 day, 22 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 22111112100
quaternary (4) 220312200
quinary (5) 20323303
senary (6) 3330400
septenary (7) 1264560
nonary (9) 274470
undecimal (11) 104797
duodecimal (12) 80a00
tridecimal (13) 5b215
tetradecimal (14) 44da0
pentadecimal (15) 348a3

As an angle

167,328° = 464 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζτκηʹ
Chinese
一十六萬七千三百二十八
Chinese (financial)
壹拾陸萬柒仟參佰貳拾捌
In other modern scripts
Eastern Arabic ١٦٧٣٢٨ Devanagari १६७३२८ Bengali ১৬৭৩২৮ Tamil ௧௬௭௩௨௮ Thai ๑๖๗๓๒๘ Tibetan ༡༦༧༣༢༨ Khmer ១៦៧៣២៨ Lao ໑໖໗໓໒໘ Burmese ၁၆၇၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167328, here are decompositions:

  • 11 + 167317 = 167328
  • 17 + 167311 = 167328
  • 19 + 167309 = 167328
  • 59 + 167269 = 167328
  • 61 + 167267 = 167328
  • 67 + 167261 = 167328
  • 79 + 167249 = 167328
  • 107 + 167221 = 167328

Showing the first eight; more decompositions exist.

Unicode codepoint
𨶠
CJK Unified Ideograph-28Da0
U+28DA0
Other letter (Lo)

UTF-8 encoding: F0 A8 B6 A0 (4 bytes).

Hex color
#028DA0
RGB(2, 141, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.160.

Address
0.2.141.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.160

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 167,328 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 167328 first appears in π at position 185,878 of the decimal expansion (the 185,878ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.