Search a number
-
+
34204011180 = 22352543224171
BaseRepresentation
bin11111110110101101…
…111100101010101100
310021021201212210112220
4133312231330222230
51030022211324210
623414010355340
72320415204133
oct376655745254
9107251783486
1034204011180
11135622aa939
126766a2bb50
1332c1346791
14192690691a
15d52c4bc70
hex7f6b7caac

34204011180 has 48 divisors (see below), whose sum is σ = 95809319424. Its totient is φ = 9117442240.

The previous prime is 34204011167. The next prime is 34204011187. The reversal of 34204011180 is 8111040243.

It is a self number, because there is not a number n which added to its sum of digits gives 34204011180.

It is not an unprimeable number, because it can be changed into a prime (34204011187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40495 + ... + 264665.

It is an arithmetic number, because the mean of its divisors is an integer number (1996027488).

Almost surely, 234204011180 is an apocalyptic number.

34204011180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34204011180 is an abundant number, since it is smaller than the sum of its proper divisors (61605308244).

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

34204011180 is a wasteful number, since it uses less digits than its factorization.

34204011180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226726 (or 226724 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

It can be divided in two parts, 342040 and 11180, that added together give a triangular number (353220 = T840).

The spelling of 34204011180 in words is "thirty-four billion, two hundred four million, eleven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2543 5086 7629 10172 12715 15258 25430 30516 38145 50860 76290 152580 224171 448342 672513 896684 1120855 1345026 2241710 2690052 3362565 4483420 6725130 13450260 570066853 1140133706 1710200559 2280267412 2850334265 3420401118 5700668530 6840802236 8551002795 11401337060 17102005590 34204011180