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34027630950 = 23521713344169
BaseRepresentation
bin11111101100001101…
…000111000101100110
310020211102222202100210
4133230031013011212
51024142033142300
623344310120250
72313144043065
oct375415070546
9106742882323
1034027630950
111348178a855
126717950086
13329393c391
14190b3121dc
15d4250b050
hex7ec347166

34027630950 has 48 divisors (see below), whose sum is σ = 89352562320. Its totient is φ = 8540267520.

The previous prime is 34027630877. The next prime is 34027630951. The reversal of 34027630950 is 5903672043.

It is a junction number, because it is equal to n+sod(n) for n = 34027630899 and 34027630908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34027630951) 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 23 ways as a sum of consecutive naturals, for example, 6669535 + ... + 6674634.

It is an arithmetic number, because the mean of its divisors is an integer number (1861511715).

Almost surely, 234027630950 is an apocalyptic number.

34027630950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34027630950 is an abundant number, since it is smaller than the sum of its proper divisors (55324931370).

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

34027630950 is a wasteful number, since it uses less digits than its factorization.

34027630950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344201 (or 13344196 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 34027630950 in words is "thirty-four billion, twenty-seven million, six hundred thirty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 13344169 26688338 40032507 66720845 80065014 133441690 200162535 226850873 333604225 400325070 453701746 667208450 680552619 1000812675 1134254365 1361105238 2001625350 2268508730 3402763095 5671271825 6805526190 11342543650 17013815475 34027630950