Live analysis

33,480,966

33,480,966 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.).

33,480,966 (thirty-three million four hundred eighty thousand nine hundred sixty-six) is an even 8-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 59 × 271 × 349. Its proper divisors sum to 35,063,034, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEE106.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

33,480,954 33,480,955 33,480,956 33,480,957 33,480,958 33,480,959 33,480,960 33,480,961 33,480,962 33,480,963 33,480,964 33,480,965 33,480,966 33,480,967 33,480,968 33,480,969 33,480,970 33,480,971 33,480,972 33,480,973 33,480,974 33,480,975 33,480,976 33,480,977 33,480,978

less more

Properties

Parity: Even
Digit count: 8
Digit sum: 39
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 25 bits
Reversed: 66,908,433
Square (n²): 1,120,975,084,293,156
Divisor count: 32
σ(n) — sum of divisors: 68,544,000
φ(n) — Euler's totient: 10,899,360
Sum of prime factors: 684

Primality

Prime factorization: 2 × 3 × 59 × 271 × 349

Nearest primes: 33,480,947 (−19) · 33,480,971 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 59 · 118 · 177 · 271 · 349 · 354 · 542 · 698 · 813 · 1047 · 1626 · 2094 · 15989 · 20591 · 31978 · 41182 · 47967 · 61773 · 94579 · 95934 · 123546 · 189158 · 283737 · 567474 · 5580161 · 11160322 · 16740483 (half) · 33480966

Aliquot sum (sum of proper divisors): 35,063,034

Factor pairs (a × b = 33,480,966)

1 × 33480966

2 × 16740483

3 × 11160322

6 × 5580161

59 × 567474

118 × 283737

177 × 189158

271 × 123546

349 × 95934

354 × 94579

542 × 61773

698 × 47967

813 × 41182

1047 × 31978

1626 × 20591

2094 × 15989

First multiples

33,480,966 · 66,961,932 (double) · 100,442,898 · 133,923,864 · 167,404,830 · 200,885,796 · 234,366,762 · 267,847,728 · 301,328,694 · 334,809,660

Sums & aliquot sequence

As consecutive integers: 11,160,321 + 11,160,322 + 11,160,323 8,370,240 + 8,370,241 + 8,370,242 + 8,370,243 2,790,075 + 2,790,076 + … + 2,790,086 567,445 + 567,446 + … + 567,503

Aliquot sequence: 33,480,966 → 35,063,034 → 36,555,654 → 36,555,666 → 48,492,894 → 48,574,626 → 49,080,318 → 63,564,546 → 63,659,454 → 64,787,538 → 65,008,302 → 69,202,770 → 135,219,630 → 264,206,418 → 406,354,350 → 636,543,186 → 638,518,638 — unresolved within range

Continued fraction of √n

√33,480,966 = [5786; (3, 1, 1, 1, 6, 4, 3, 6, 1, 2, 12, 3, 1, 2, 3, 1, 4, 5, 3, 1, 1, 1, 2, 1, …)]

Representations

In words: thirty-three million four hundred eighty thousand nine hundred sixty-six
Ordinal: 33480966th
Binary: 1111111101110000100000110
Octal: 177560406
Hexadecimal: 0x1FEE106
Base64: Af7hBg==
One's complement: 4,261,486,329 (32-bit)
Scientific notation: 3.3480966 × 10⁷
As a duration: 33,480,966 s = 1 year, 22 days, 12 hours, 16 minutes, 6 seconds

In other bases

ternary (3) 2100000000020210

quaternary (4) 1333232010012

quinary (5) 32032342331

senary (6) 3153340250

septenary (7) 554404101

nonary (9) 70000223

undecimal (11) 17998822

duodecimal (12) b267686

tridecimal (13) 6c2352c

tetradecimal (14) 4637738

pentadecimal (15) 2e15446

As an angle

33,480,966° = 93,002 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Chinese: 三千三百四十八萬零九百六十六
Chinese (financial): 參仟參佰肆拾捌萬零玖佰陸拾陸

In other modern scripts

Eastern Arabic ٣٣٤٨٠٩٦٦ Devanagari ३३४८०९६६ Bengali ৩৩৪৮০৯৬৬ Tamil ௩௩௪௮௦௯௬௬ Thai ๓๓๔๘๐๙๖๖ Tibetan ༣༣༤༨༠༩༦༦ Khmer ៣៣៤៨០៩៦៦ Lao ໓໓໔໘໐໙໖໖ Burmese ၃၃၄၈၀၉၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33480966, here are decompositions:

19 + 33480947 = 33480966
23 + 33480943 = 33480966
37 + 33480929 = 33480966
53 + 33480913 = 33480966
137 + 33480829 = 33480966
139 + 33480827 = 33480966
157 + 33480809 = 33480966
179 + 33480787 = 33480966

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 1.254.225.6.

Address: 1.254.225.6
Class: public
IPv4-mapped IPv6: ::ffff:1.254.225.6

Public, routable address (assignable to a host on the internet).