Search a number
-
+
3354400340660 = 2255932677105653
BaseRepresentation
bin110000110100000001110…
…101110011101010110100
3102212200021221000221102002
4300310001311303222310
5414424302441400120
611044553520434432
7464230111306625
oct60640165635264
912780257027362
103354400340660
1110836585a80a6
12462131a78a18
131b441ac505a5
14b84d4d31a4c
155c3c7c4c375
hex30d01d73ab4

3354400340660 has 48 divisors (see below), whose sum is σ = 7058822346576. Its totient is φ = 1338984425472.

The previous prime is 3354400340657. The next prime is 3354400340677. The reversal of 3354400340660 is 660430044533.

It can be written as a sum of positive squares in 8 ways, for example, as 1311799134244 + 2042601206416 = 1145338^2 + 1429196^2 .

It is a super-2 number, since 2×33544003406602 (a number of 26 digits) contains 22 as substring.

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, 31696394 + ... + 31802046.

It is an arithmetic number, because the mean of its divisors is an integer number (147058798887).

Almost surely, 23354400340660 is an apocalyptic number.

It is an amenable number.

3354400340660 is an abundant number, since it is smaller than the sum of its proper divisors (3704422005916).

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

3354400340660 is a wasteful number, since it uses less digits than its factorization.

3354400340660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108932 (or 108930 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

The spelling of 3354400340660 in words is "three trillion, three hundred fifty-four billion, four hundred million, three hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 593 1186 2372 2677 2965 5354 5930 10708 11860 13385 26770 53540 105653 211306 422612 528265 1056530 1587461 2113060 3174922 6349844 7937305 15874610 31749220 62652229 125304458 250608916 282833081 313261145 565666162 626522290 1131332324 1253044580 1414165405 2828330810 5656661620 167720017033 335440034066 670880068132 838600085165 1677200170330 3354400340660