Search a number
-
+
34024515021 = 34778776249
BaseRepresentation
bin11111101100000001…
…001110010111001101
310020211020010110010000
4133230001032113031
51024140233440041
623344115234513
72313105414540
oct375401162715
9106736113100
1034024515021
111347aa51802
1267168a8a39
1332930bb033
14190ab40857
15d420e2bb6
hex7ec04e5cd

34024515021 has 40 divisors (see below), whose sum is σ = 58162280000. Its totient is φ = 19417620672.

The previous prime is 34024515017. The next prime is 34024515053. The reversal of 34024515021 is 12051542043.

It is not a de Polignac number, because 34024515021 - 22 = 34024515017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024515001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408105 + ... + 484353.

It is an arithmetic number, because the mean of its divisors is an integer number (1454057000).

Almost surely, 234024515021 is an apocalyptic number.

It is an amenable number.

34024515021 is a deficient number, since it is larger than the sum of its proper divisors (24137764979).

34024515021 is an equidigital number, since it uses as much as digits as its factorization.

34024515021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77055 (or 77046 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34024515021 in words is "thirty-four billion, twenty-four million, five hundred fifteen thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 787 2361 5509 7083 16527 21249 49581 63747 76249 148743 228747 446229 533743 686241 1601229 2058723 4803687 6176169 14411061 43233183 60007963 180023889 420055741 540071667 1260167223 1620215001 3780501669 4860645003 11341505007 34024515021