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34046508780 = 22325347545093
BaseRepresentation
bin11111101101010101…
…000111111011101100
310020212202111211212200
4133231111013323230
51024211401240110
623350222501500
72313463356354
oct375525077354
9106782454780
1034046508780
1113491403a69
126722134890
13329781baab
14190da27b64
15d43ed96c0
hex7ed547eec

34046508780 has 72 divisors (see below), whose sum is σ = 103572220752. Its totient is φ = 9052887936.

The previous prime is 34046508779. The next prime is 34046508841. The reversal of 34046508780 is 8780564043.

34046508780 is a `hidden beast` number, since 34 + 0 + 46 + 508 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 210087 + ... + 335006.

It is an arithmetic number, because the mean of its divisors is an integer number (1438503066).

Almost surely, 234046508780 is an apocalyptic number.

34046508780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34046508780 is an abundant number, since it is smaller than the sum of its proper divisors (69525711972).

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

34046508780 is a wasteful number, since it uses less digits than its factorization.

34046508780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545455 (or 545450 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34046508780 in words is "thirty-four billion, forty-six million, five hundred eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 10410 12492 15615 20820 31230 62460 545093 1090186 1635279 2180372 2725465 3270558 4905837 5450930 6541116 8176395 9811674 10901860 16352790 19623348 24529185 32705580 49058370 98116740 189147271 378294542 567441813 756589084 945736355 1134883626 1702325439 1891472710 2269767252 2837209065 3404650878 3782945420 5674418130 6809301756 8511627195 11348836260 17023254390 34046508780