Search a number
-
+
344330114220 = 223252221861299
BaseRepresentation
bin1010000001010111010…
…11001001010010101100
31012220202221212011021100
411000223223021102230
521120142002123340
6422103313203100
733606551452011
oct5005353112254
91186687764240
10344330114220
11123036411234
1256897560490
1326616015621
1412946835708
158e543c7830
hex502bac94ac

344330114220 has 72 divisors (see below), whose sum is σ = 1044939495600. Its totient is φ = 91779914880.

The previous prime is 344330114203. The next prime is 344330114263. The reversal of 344330114220 is 22411033443.

344330114220 is a `hidden beast` number, since 3 + 4 + 433 + 0 + 1 + 1 + 4 + 220 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30870 + ... + 830429.

It is an arithmetic number, because the mean of its divisors is an integer number (14513048550).

Almost surely, 2344330114220 is an apocalyptic number.

344330114220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344330114220 is an abundant number, since it is smaller than the sum of its proper divisors (700609381380).

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

344330114220 is a wasteful number, since it uses less digits than its factorization.

344330114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863535 (or 863530 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 344330114220 its reverse (22411033443), we get a palindrome (366741147663).

The spelling of 344330114220 in words is "three hundred forty-four billion, three hundred thirty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2221 4442 6663 8884 11105 13326 19989 22210 26652 33315 39978 44420 66630 79956 99945 133260 199890 399780 861299 1722598 2583897 3445196 4306495 5167794 7751691 8612990 10335588 12919485 15503382 17225980 25838970 31006764 38758455 51677940 77516910 155033820 1912945079 3825890158 5738835237 7651780316 9564725395 11477670474 17216505711 19129450790 22955340948 28694176185 34433011422 38258901580 57388352370 68866022844 86082528555 114776704740 172165057110 344330114220