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34424130320 = 245430301629
BaseRepresentation
bin100000000011110101…
…101000101100010000
310021212002002000020122
4200003311220230100
51031000034132240
623451512325412
72326030164656
oct400365505420
9107762060218
1034424130320
1113665584688
1268086a3868
133327b264a8
141947c44dd6
15d6722c4b5
hex803d68b10

34424130320 has 20 divisors (see below), whose sum is σ = 80036103180. Its totient is φ = 13769652096.

The previous prime is 34424130269. The next prime is 34424130347. The reversal of 34424130320 is 2303142443.

It can be written as a sum of positive squares in 2 ways, for example, as 5419315456 + 29004814864 = 73616^2 + 170308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 34424130320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215150735 + ... + 215150894.

It is an arithmetic number, because the mean of its divisors is an integer number (4001805159).

Almost surely, 234424130320 is an apocalyptic number.

It is an amenable number.

34424130320 is an abundant number, since it is smaller than the sum of its proper divisors (45611972860).

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

34424130320 is a wasteful number, since it uses less digits than its factorization.

34424130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430301642 (or 430301636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34424130320 its reverse (2303142443), we get a palindrome (36727272763).

The spelling of 34424130320 in words is "thirty-four billion, four hundred twenty-four million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430301629 860603258 1721206516 2151508145 3442413032 4303016290 6884826064 8606032580 17212065160 34424130320