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34542003344 = 2419737272141
BaseRepresentation
bin100000001010110111…
…010010010010010000
310022011021212120122012
4200022313102102100
51031220223101334
623511323002052
72331661120052
oct401267222220
9108137776565
1034542003344
1113716073402
126840069328
133346387244
1419597698d2
15d727629ce
hex80add2490

34542003344 has 80 divisors (see below), whose sum is σ = 71544170880. Its totient is φ = 16108139520.

The previous prime is 34542003343. The next prime is 34542003403. The reversal of 34542003344 is 44330024543.

It is a self number, because there is not a number n which added to its sum of digits gives 34542003344.

It is not an unprimeable number, because it can be changed into a prime (34542003341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16132514 + ... + 16134654.

It is an arithmetic number, because the mean of its divisors is an integer number (894302136).

Almost surely, 234542003344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35772085440).

34542003344 is an abundant number, since it is smaller than the sum of its proper divisors (37002167536).

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

34542003344 is a wasteful number, since it uses less digits than its factorization.

34542003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 34542003344 its reverse (44330024543), we get a palindrome (78872027887).

The spelling of 34542003344 in words is "thirty-four billion, five hundred forty-two million, three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 727 1168 1387 1454 2141 2774 2908 4282 5548 5816 8564 11096 11632 13813 17128 22192 27626 34256 40679 53071 55252 81358 106142 110504 156293 162716 212284 221008 312586 325432 424568 625172 650864 849136 1008349 1250344 1556507 2016698 2500688 2969567 3113014 4033396 5939134 6226028 8066792 11878268 12452056 16133584 23756536 24904112 29573633 47513072 59147266 113625011 118294532 227250022 236589064 454500044 473178128 909000088 1818000176 2158875209 4317750418 8635500836 17271001672 34542003344