Search a number
-
+
3483304607268 = 2232376739031247
BaseRepresentation
bin110010101100000101001…
…000100011111000100100
3110100000000111011011101200
4302230011020203320210
5424032301434413033
611224112534322500
7506442351431163
oct62540510437044
913300014134350
103483304607268
111123296706542
124831077b9430
131c3621b09465
14c0842a8d3da
156091e7be013
hex32b05223e24

3483304607268 has 72 divisors (see below), whose sum is σ = 9177963779712. Its totient is φ = 1112858885952.

The previous prime is 3483304607243. The next prime is 3483304607317. The reversal of 3483304607268 is 8627064033843.

3483304607268 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 3 + 0 + 4 + 607 + 26 + 8 = 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, 19426380 + ... + 19604867.

Almost surely, 23483304607268 is an apocalyptic number.

It is an amenable number.

3483304607268 is an abundant number, since it is smaller than the sum of its proper divisors (5694659172444).

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

3483304607268 is a wasteful number, since it uses less digits than its factorization.

3483304607268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031361 (or 39031356 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3483304607268 in words is "three trillion, four hundred eighty-three billion, three hundred four million, six hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 1206 1332 2412 2479 4958 7437 9916 14874 22311 29748 44622 89244 39031247 78062494 117093741 156124988 234187482 351281223 468374964 702562446 1405124892 1444156139 2615093549 2888312278 4332468417 5230187098 5776624556 7845280647 8664936834 10460374196 12997405251 15690561294 17329873668 23535841941 25994810502 31381122588 47071683882 51989621004 94143367764 96758461313 193516922626 290275383939 387033845252 580550767878 870826151817 1161101535756 1741652303634 3483304607268