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34376641700 = 2252734709129
BaseRepresentation
bin100000000001000000…
…011110110010100100
310021201202201100002212
4200001000132302210
51030400410013300
623443054422552
72324612430122
oct400100366244
9107652640085
1034376641700
1113640799795
1267b4801a58
13331b03a20b
141941802912
15d62e9b935
hex80101eca4

34376641700 has 36 divisors (see below), whose sum is σ = 75619209540. Its totient is φ = 13562288640.

The previous prime is 34376641687. The next prime is 34376641703. The reversal of 34376641700 is 714667343.

It can be written as a sum of positive squares in 6 ways, for example, as 1585950976 + 32790690724 = 39824^2 + 181082^2 .

It is not an unprimeable number, because it can be changed into a prime (34376641703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2347265 + ... + 2361864.

Almost surely, 234376641700 is an apocalyptic number.

It is an amenable number.

34376641700 is an abundant number, since it is smaller than the sum of its proper divisors (41242567840).

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

34376641700 is a wasteful number, since it uses less digits than its factorization.

34376641700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709216 (or 4709209 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 34376641700 in words is "thirty-four billion, three hundred seventy-six million, six hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 4709129 9418258 18836516 23545645 47091290 94182580 117728225 235456450 343766417 470912900 687532834 1375065668 1718832085 3437664170 6875328340 8594160425 17188320850 34376641700