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34244312300 = 22521153587381
BaseRepresentation
bin11111111001000111…
…101011110011101100
310021101112201022021222
4133321013223303230
51030113020443200
623422010242512
72321414565122
oct377107536354
9107345638258
1034244312300
1113583026750
126778426438
1332c97b73b3
14192bdd7912
15d5655cd85
hex7f91ebcec

34244312300 has 72 divisors (see below), whose sum is σ = 82595307312. Its totient is φ = 12217504000.

The previous prime is 34244312299. The next prime is 34244312303. The reversal of 34244312300 is 321344243.

It is a self number, because there is not a number n which added to its sum of digits gives 34244312300.

It is not an unprimeable number, because it can be changed into a prime (34244312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235391 + ... + 351990.

It is an arithmetic number, because the mean of its divisors is an integer number (1147157046).

Almost surely, 234244312300 is an apocalyptic number.

It is an amenable number.

34244312300 is an abundant number, since it is smaller than the sum of its proper divisors (48350995012).

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

34244312300 is a wasteful number, since it uses less digits than its factorization.

34244312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587459 (or 587452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34244312300 its reverse (321344243), we get a palindrome (34565656543).

The spelling of 34244312300 in words is "thirty-four billion, two hundred forty-four million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 587381 1174762 2349524 2936905 5873810 6461191 11747620 12922382 14684525 25844764 29369050 31131193 32305955 58738100 62262386 64611910 124524772 129223820 155655965 161529775 311311930 323059550 342443123 622623860 646119100 684886246 778279825 1369772492 1556559650 1712215615 3113119300 3424431230 6848862460 8561078075 17122156150 34244312300