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34042362060 = 22357463175061
BaseRepresentation
bin11111101101000101…
…010011100011001100
310020212110201011122110
4133231011103203030
51024204321041220
623345553544020
72313413205660
oct375505234314
9106773634573
1034042362060
111348a031523
126720875010
1332969c9505
14190d2688a0
15d4396abe0
hex7ed1538cc

34042362060 has 96 divisors (see below), whose sum is σ = 109171464192. Its totient is φ = 7764261120.

The previous prime is 34042362047. The next prime is 34042362089. The reversal of 34042362060 is 6026324043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106930 + ... + 281990.

It is an arithmetic number, because the mean of its divisors is an integer number (1137202752).

Almost surely, 234042362060 is an apocalyptic number.

34042362060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042362060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585732096).

34042362060 is an abundant number, since it is smaller than the sum of its proper divisors (75129102132).

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

34042362060 is a wasteful number, since it uses less digits than its factorization.

34042362060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175543 (or 175541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 34042362060 in words is "thirty-four billion, forty-two million, three hundred sixty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 463 926 1389 1852 2315 2778 3241 4630 5556 6482 6945 9260 9723 12964 13890 16205 19446 27780 32410 38892 48615 64820 97230 175061 194460 350122 525183 700244 875305 1050366 1225427 1750610 2100732 2450854 2625915 3501220 3676281 4901708 5251830 6127135 7352562 10503660 12254270 14705124 18381405 24508540 36762810 73525620 81053243 162106486 243159729 324212972 405266215 486319458 567372701 810532430 972638916 1134745402 1215798645 1621064860 1702118103 2269490804 2431597290 2836863505 3404236206 4863194580 5673727010 6808472412 8510590515 11347454020 17021181030 34042362060