Search a number
-
+
3444324000312 = 2331317649382353
BaseRepresentation
bin110010000111110001101…
…101010110001000111000
3110012021101212021011021010
4302013301231112020320
5422412433421002222
611154144532513520
7503562362641566
oct62076155261070
913167355234233
103444324000312
111108803117598
1247764917b8a0
131bca4bcc4160
14bc9c5a3aa36
155e8dc54980c
hex321f1b56238

3444324000312 has 64 divisors (see below), whose sum is σ = 9818661192480. Its totient is φ = 997451292672.

The previous prime is 3444324000283. The next prime is 3444324000331. The reversal of 3444324000312 is 2130004234443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3444324000312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324685873 + ... + 324696480.

Almost surely, 23444324000312 is an apocalyptic number.

It is an amenable number.

3444324000312 is an abundant number, since it is smaller than the sum of its proper divisors (6374337192168).

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

3444324000312 is a wasteful number, since it uses less digits than its factorization.

3444324000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649382392 (or 649382388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3444324000312 its reverse (2130004234443), we get a palindrome (5574328234755).

The spelling of 3444324000312 in words is "three trillion, four hundred forty-four billion, three hundred twenty-four million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 649382353 1298764706 1948147059 2597529412 3896294118 5195058824 7792588236 8441970589 11039500001 15585176472 16883941178 22079000002 25325911767 33118500003 33767882356 44158000004 50651823534 66237000006 67535764712 88316000008 101303647068 132474000012 143513500013 202607294136 264948000024 287027000026 430540500039 574054000052 861081000078 1148108000104 1722162000156 3444324000312