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834099660 = 223355772677
BaseRepresentation
bin110001101101110…
…101100111001100
32011010111122122000
4301231311213030
53202012142120
6214433352300
726445505302
oct6155654714
92133448560
10834099660
11398911469
121b3408690
13103a61bc4
147cac4272
154d360990
hex31b759cc

834099660 has 96 divisors (see below), whose sum is σ = 2600445120. Its totient is φ = 221958144.

The previous prime is 834099641. The next prime is 834099661. The reversal of 834099660 is 66990438.

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

It is not an unprimeable number, because it can be changed into a prime (834099661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310242 + ... + 312918.

It is an arithmetic number, because the mean of its divisors is an integer number (27087970).

Almost surely, 2834099660 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 834099660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300222560).

834099660 is an abundant number, since it is smaller than the sum of its proper divisors (1766345460).

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

834099660 is a wasteful number, since it uses less digits than its factorization.

834099660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 834099660 is about 28880.7835766276. The cubic root of 834099660 is about 941.3243969067.

The spelling of 834099660 in words is "eight hundred thirty-four million, ninety-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 1154 1731 2308 2677 2885 3462 5193 5354 5770 6924 8031 8655 10386 10708 11540 13385 15579 16062 17310 20772 24093 25965 26770 31158 32124 34620 40155 48186 51930 53540 62316 72279 77895 80310 96372 103860 120465 144558 155790 160620 240930 289116 311580 361395 481860 722790 1445580 1544629 3089258 4633887 6178516 7723145 9267774 13901661 15446290 18535548 23169435 27803322 30892580 41704983 46338870 55606644 69508305 83409966 92677740 139016610 166819932 208524915 278033220 417049830 834099660