Search a number
-
+
3406737067074 = 2321121564158433
BaseRepresentation
bin110001100100110001010…
…110100100110001000010
3110001200101100211010001200
4301210301112210301002
5421303444142121244
611125011114242030
7501062056166055
oct61446126446102
913050340733050
103406737067074
1110a3875296300
124702b9426316
131b933bb53c63
14bac5bb30a9c
155d93c81a669
hex319315a4c42

3406737067074 has 36 divisors (see below), whose sum is σ = 8113289797158. Its totient is φ = 1032344565120.

The previous prime is 3406737067067. The next prime is 3406737067087. The reversal of 3406737067074 is 4707607376043.

It can be written as a sum of positive squares in only one way, i.e., 1788791226849 + 1617945840225 = 1337457^2 + 1271985^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3406737067074.

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 17 ways as a sum of consecutive naturals, for example, 782077039 + ... + 782081394.

Almost surely, 23406737067074 is an apocalyptic number.

3406737067074 is an abundant number, since it is smaller than the sum of its proper divisors (4706552730084).

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

3406737067074 is a wasteful number, since it uses less digits than its factorization.

3406737067074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564158463 (or 1564158449 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 3406737067074 in words is "three trillion, four hundred six billion, seven hundred thirty-seven million, sixty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 1564158433 3128316866 4692475299 9384950598 14077425897 17205742763 28154851794 34411485526 51617228289 103234456578 154851684867 189263170393 309703369734 378526340786 567789511179 1135579022358 1703368533537 3406737067074