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34341000678 = 23323193143263
BaseRepresentation
bin11111111110111000…
…100001010111100110
310021122021122120211000
4133332320201113212
51030312244010203
623435342454130
72324000455335
oct377670412746
9107567576730
1034341000678
11136226660a6
1267a4894346
13331383b75a
14193aba5d1c
15d5ecab4a3
hex7fee215e6

34341000678 has 64 divisors (see below), whose sum is σ = 80044462080. Its totient is φ = 10892496384.

The previous prime is 34341000649. The next prime is 34341000679. The reversal of 34341000678 is 87600014343.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341000679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168075 + ... + 311337.

It is an arithmetic number, because the mean of its divisors is an integer number (1250694720).

Almost surely, 234341000678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34341000678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40022231040).

34341000678 is an abundant number, since it is smaller than the sum of its proper divisors (45703461402).

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

34341000678 is a wasteful number, since it uses less digits than its factorization.

34341000678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143490 (or 143484 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34341000678 in words is "thirty-four billion, three hundred forty-one million, six hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 193 207 386 414 579 621 1158 1242 1737 3474 4439 5211 8878 10422 13317 26634 39951 79902 119853 143263 239706 286526 429789 859578 1289367 2578734 3295049 3868101 6590098 7736202 9885147 19770294 27649759 29655441 55299518 59310882 82949277 88966323 165898554 177932646 248847831 497695662 635944457 746543493 1271888914 1493086986 1907833371 3815666742 5723500113 11447000226 17170500339 34341000678