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34040366000 = 245322137691
BaseRepresentation
bin11111101100111101…
…101100001110110000
310020212022221202120022
4133230331230032300
51024203313203000
623345443103012
72313360223364
oct375475541660
9106768852508
1034040366000
1113488998893
126720071a68
13329647ab04
14190cca92a4
15d436c4585
hex7ecf6c3b0

34040366000 has 80 divisors (see below), whose sum is σ = 82357505568. Its totient is φ = 13608224000.

The previous prime is 34040365993. The next prime is 34040366089. The reversal of 34040366000 is 66304043.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422155 + ... + 4429845.

Almost surely, 234040366000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41178752784).

34040366000 is an abundant number, since it is smaller than the sum of its proper divisors (48317139568).

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

34040366000 is a wasteful number, since it uses less digits than its factorization.

34040366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9927 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 34040366000 in words is "thirty-four billion, forty million, three hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2213 4426 7691 8852 11065 15382 17704 22130 30764 35408 38455 44260 55325 61528 76910 88520 110650 123056 153820 177040 192275 221300 276625 307640 384550 442600 553250 615280 769100 885200 961375 1106500 1538200 1922750 2213000 3076400 3845500 4426000 7691000 15382000 17020183 34040366 68080732 85100915 136161464 170201830 272322928 340403660 425504575 680807320 851009150 1361614640 1702018300 2127522875 3404036600 4255045750 6808073200 8510091500 17020183000 34040366000