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34402030000 = 245413264631
BaseRepresentation
bin100000000010100001…
…010101000110110000
310021210112111012022021
4200002201111012300
51030423404430000
623445402521224
72325341300362
oct400241250660
9107715435267
1034402030000
111365405a358
126801206214
133323389090
141944d30d32
15d6531411a
hex8028551b0

34402030000 has 100 divisors (see below), whose sum is σ = 89698074928. Its totient is φ = 12702240000.

The previous prime is 34402029979. The next prime is 34402030009. The reversal of 34402030000 is 3020443.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34402030009) 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 19 ways as a sum of consecutive naturals, for example, 2316 + ... + 262315.

Almost surely, 234402030000 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 34402030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849037464).

34402030000 is an abundant number, since it is smaller than the sum of its proper divisors (55296044928).

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

34402030000 is a wasteful number, since it uses less digits than its factorization.

34402030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264672 (or 264651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34402030000 its reverse (3020443), we get a palindrome (34405050443).

The spelling of 34402030000 in words is "thirty-four billion, four hundred two million, thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 264631 529262 1058524 1323155 2117048 2646310 3440203 4234096 5292620 6615775 6880406 10585240 13231550 13760812 17201015 21170480 26463100 27521624 33078875 34402030 52926200 55043248 66157750 68804060 86005075 105852400 132315500 137608120 165394375 172010150 264631000 275216240 330788750 344020300 430025375 529262000 661577500 688040600 860050750 1323155000 1376081200 1720101500 2150126875 2646310000 3440203000 4300253750 6880406000 8600507500 17201015000 34402030000