Search a number
-
+
318830420 = 225731311667
BaseRepresentation
bin10011000000001…
…111011101010100
3211012221021010002
4103000033131110
51123110033140
651345350432
710621004516
oct2300173524
9735837102
10318830420
11153a76017
128a938418
1351091a6c
14304b5bb6
151cecd415
hex1300f754

318830420 has 48 divisors (see below), whose sum is σ = 684307008. Its totient is φ = 124750080.

The previous prime is 318830417. The next prime is 318830441. The reversal of 318830420 is 24038813.

It is a happy number.

318830420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190427 + ... + 192093.

It is an arithmetic number, because the mean of its divisors is an integer number (14256396).

Almost surely, 2318830420 is an apocalyptic number.

It is an amenable number.

318830420 is an abundant number, since it is smaller than the sum of its proper divisors (365476588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318830420 is a wasteful number, since it uses less digits than its factorization.

318830420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 318830420 is about 17855.8231398051. The cubic root of 318830420 is about 683.1560473391.

The spelling of 318830420 in words is "three hundred eighteen million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 131 146 262 292 365 524 655 730 1310 1460 1667 2620 3334 6668 8335 9563 16670 19126 33340 38252 47815 95630 121691 191260 218377 243382 436754 486764 608455 873508 1091885 1216910 2183770 2433820 4367540 15941521 31883042 63766084 79707605 159415210 318830420