360
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 1170
- Proper Divisor Sum (Aliquot Sum)
- 810
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 96
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 19
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertsechzig· ordinal: dreihundertsechzigste
- English
- three hundred sixty· ordinal: three hundred sixtieth
- Spanish
- trescientos sesenta· ordinal: 360º
- French
- trois cent soixante· ordinal: trois cent soixantième
- Italian
- trecentosessanta· ordinal: 360º
- Latin
- trecenti sexaginta· ordinal: 360.
- Portuguese
- trezentos e sessenta· ordinal: 360º
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=14A000082
- a(n) is the number of compositions of n in which the maximal part is 3.at n=11A000100
- Number of colorings of labeled graphs on n nodes using exactly 2 colors, divided by 4.at n=4A000683
- Number of compositions of n into 3 ordered relatively prime parts.at n=31A000741
- Number of compositions of n into 4 ordered relatively prime parts.at n=11A000742
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=22A000969
- Orders of noncyclic simple groups (without repetition).at n=2A001034
- a(0)=12; thereafter a(n) = 12 times the product of the first n primes.at n=3A001041
- Numbers that are the sum of 2 successive primes.at n=40A001043
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=22A001172
- Maximal number of unattacked squares with n queens on n X n board (answers for n >= 17 only probable).at n=27A001366
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=17A001484
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=52A001484
- Order of alternating group A_n, or number of even permutations of n letters.at n=6A001710
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=9A001766
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=45A001840
- Number of rooted planar 2-trees with n nodes.at n=6A001895
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=34A002088
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=32A002093
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=53A002155