Search a number
-
+
34226420820 = 2235570440347
BaseRepresentation
bin11111111000000011…
…011011110001010100
310021100022001022210120
4133320003123301110
51030043430431240
623420130551540
72321106530304
oct377003336124
9107308038716
1034226420820
1113573a165a9
1267724385b0
1332c5b91917
14192989b604
15d54bc6ad0
hex7f80dbc54

34226420820 has 24 divisors (see below), whose sum is σ = 95833978464. Its totient is φ = 9127045536.

The previous prime is 34226420797. The next prime is 34226420827. The reversal of 34226420820 is 2802462243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34226420827) 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 7 ways as a sum of consecutive naturals, for example, 285220114 + ... + 285220233.

It is an arithmetic number, because the mean of its divisors is an integer number (3993082436).

Almost surely, 234226420820 is an apocalyptic number.

34226420820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34226420820 is an abundant number, since it is smaller than the sum of its proper divisors (61607557644).

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

34226420820 is a wasteful number, since it uses less digits than its factorization.

34226420820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570440359 (or 570440357 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 34226420820 in words is "thirty-four billion, two hundred twenty-six million, four hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 570440347 1140880694 1711321041 2281761388 2852201735 3422642082 5704403470 6845284164 8556605205 11408806940 17113210410 34226420820