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34852105308 = 22319218144449
BaseRepresentation
bin100000011101010110…
…001110110001011100
310022221220101101120010
4200131112032301130
51032334114332213
624002201323220
72342445002316
oct403526166134
9108856341503
1034852105308
1113865117619
126907a96510
1333956b1127
141988a0c7b6
15d8eab9ac3
hex81d58ec5c

34852105308 has 72 divisors (see below), whose sum is σ = 86303053200. Its totient is φ = 10944875520.

The previous prime is 34852105279. The next prime is 34852105313. The reversal of 34852105308 is 80350125843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761868 + ... + 806316.

Almost surely, 234852105308 is an apocalyptic number.

34852105308 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34852105308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43151526600).

34852105308 is an abundant number, since it is smaller than the sum of its proper divisors (51450947892).

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

34852105308 is a wasteful number, since it uses less digits than its factorization.

34852105308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44675 (or 44654 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 34852105308 in words is "thirty-four billion, eight hundred fifty-two million, one hundred five thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 361 362 543 722 724 1083 1086 1444 2166 2172 3439 4332 6878 10317 13756 20634 41268 44449 65341 88898 130682 133347 177796 196023 261364 266694 392046 533388 784092 844531 1689062 2533593 3378124 5067186 8045269 10134372 16046089 16090538 24135807 32092178 32181076 48138267 48271614 64184356 96276534 96543228 152860111 192553068 305720222 458580333 611440444 917160666 1834321332 2904342109 5808684218 8713026327 11617368436 17426052654 34852105308