Search a number
-
+
320306420844 = 22331928215513
BaseRepresentation
bin1001010100100111100…
…00000001110001101100
31010121202201001002101000
410222103300001301230
520221441420431334
6403051410120300
732066330440434
oct4522360016154
91117681032330
10320306420844
11113928695893
12520b1b80090
1324287b41a47
1411707dcd2c4
1584ea2a6299
hex4a93c01c6c

320306420844 has 72 divisors (see below), whose sum is σ = 876431033520. Its totient is φ = 101149383744.

The previous prime is 320306420827. The next prime is 320306420869. The reversal of 320306420844 is 448024603023.

320306420844 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 0 + 642 + 0 + 8 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320306420799 and 320306420808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4068769 + ... + 4146744.

Almost surely, 2320306420844 is an apocalyptic number.

It is an amenable number.

320306420844 is an abundant number, since it is smaller than the sum of its proper divisors (556124612676).

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

320306420844 is a wasteful number, since it uses less digits than its factorization.

320306420844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215564 (or 8215537 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 320306420844 in words is "three hundred twenty billion, three hundred six million, four hundred twenty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1083 1444 2052 2166 3249 4332 6498 9747 12996 19494 38988 8215513 16431026 24646539 32862052 49293078 73939617 98586156 147879234 156094747 221818851 295758468 312189494 443637702 468284241 624378988 887275404 936568482 1404852723 1873136964 2809705446 2965800193 4214558169 5619410892 5931600386 8429116338 8897400579 11863200772 16858232676 17794801158 26692201737 35589602316 53384403474 80076605211 106768806948 160153210422 320306420844