390
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 618
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 96
- Möbius Function
- 1
- Radical
- 390
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertneunzig· ordinal: dreihundertneunzigste
- English
- three hundred ninety· ordinal: three hundred ninetieth
- Spanish
- trescientos noventa· ordinal: 390º
- French
- trois cent quatre-vingt-dix· ordinal: trois cent quatre-vingt-dixième
- Italian
- trecentonovanta· ordinal: 390º
- Latin
- trecenti nonaginta· ordinal: 390.
- Portuguese
- trezentos e noventa· ordinal: 390º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=32A000009
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=20A000123
- Numbers that are the sum of 2 successive primes.at n=43A001043
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=27A001172
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=22A001182
- From a continued fraction.at n=7A001684
- Number of two-rowed partitions of length 3.at n=16A001993
- Number of connected graphs on n labeled nodes, each node being colored with one of 2 colors, such that no edge joins nodes of the same color.at n=5A002027
- Number of labeled connected digraphs on n nodes where every node has indegree 0 or outdegree 0 and no isolated nodes.at n=3A002031
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=34A002038
- Convolution inverse of A143348.at n=7A002039
- Absolute value of Glaisher's beta'(2n+1).at n=31A002291
- Number of integral points in a certain sequence of open quadrilaterals.at n=31A002578
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=9A002653
- Number of n-step walks on square lattice.at n=5A002900
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional f.c.c. lattice.at n=2A002918
- Numbers that are the sum of 10 positive 4th powers.at n=44A003344
- Numbers that are the sum of 12 positive 6th powers.at n=6A003368
- Numbers that are the sum of 9 positive 7th powers.at n=3A003376
- Degrees of irreducible representations of group L4(3).at n=14A003900