Search a number
-
+
34000271130 = 2357464334871
BaseRepresentation
bin11111101010100100…
…101111011100011010
310020202112111201202010
4133222210233130122
51024113032134010
623341451450350
72312362351620
oct375244573432
9106675451663
1034000271130
11134682a2a31
12670a7569b6
13328b080037
14190782d510
15d3ee04620
hex7ea92f71a

34000271130 has 64 divisors (see below), whose sum is σ = 93280647168. Its totient is φ = 7769593920.

The previous prime is 34000271117. The next prime is 34000271159. The reversal of 34000271130 is 3117200043.

It is a super-2 number, since 2×340002711302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34000271097 and 34000271106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957595 + ... + 992465.

It is an arithmetic number, because the mean of its divisors is an integer number (1457510112).

Almost surely, 234000271130 is an apocalyptic number.

34000271130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34000271130 is an abundant number, since it is smaller than the sum of its proper divisors (59280376038).

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

34000271130 is a wasteful number, since it uses less digits than its factorization.

34000271130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39531.

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 34000271130 its reverse (3117200043), we get a palindrome (37117471173).

The spelling of 34000271130 in words is "thirty-four billion, two hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 4643 9286 13929 23215 27858 32501 34871 46430 65002 69645 69742 97503 104613 139290 162505 174355 195006 209226 244097 325010 348710 487515 488194 523065 732291 975030 1046130 1220485 1464582 2440970 3661455 7322910 161906053 323812106 485718159 809530265 971436318 1133342371 1619060530 2266684742 2428590795 3400027113 4857181590 5666711855 6800054226 11333423710 17000135565 34000271130