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3420310300 = 22521143167433
BaseRepresentation
bin1100101111011101…
…1100101100011100
322211100220202200021
43023313130230130
524001044412200
61323221041524
7150521105101
oct31367345434
98740822607
103420310300
1114a5748830
127b55562a4
134267b7564
14246376aa8
1515041a41a
hexcbddcb1c

3420310300 has 144 divisors (see below), whose sum is σ = 8353965312. Its totient is φ = 1204761600.

The previous prime is 3420310277. The next prime is 3420310339. The reversal of 3420310300 is 30130243.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7898884 + ... + 7899316.

It is an arithmetic number, because the mean of its divisors is an integer number (58013648).

Almost surely, 23420310300 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 3420310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176982656).

3420310300 is an abundant number, since it is smaller than the sum of its proper divisors (4933655012).

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

3420310300 is a wasteful number, since it uses less digits than its factorization.

3420310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3420310300 is about 58483.4190177011. The cubic root of 3420310300 is about 1506.6828194377.

Adding to 3420310300 its reverse (30130243), we get a palindrome (3450440543).

The spelling of 3420310300 in words is "three billion, four hundred twenty million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 167 172 215 220 275 334 430 433 473 550 668 835 860 866 946 1075 1100 1670 1732 1837 1892 2150 2165 2365 3340 3674 4175 4300 4330 4730 4763 7181 7348 8350 8660 9185 9460 9526 10825 11825 14362 16700 18370 18619 19052 21650 23650 23815 28724 35905 36740 37238 43300 45925 47300 47630 71810 72311 74476 78991 91850 93095 95260 119075 143620 144622 157982 179525 183700 186190 204809 238150 289244 315964 359050 361555 372380 394955 409618 465475 476300 718100 723110 789910 795421 819236 930950 1024045 1446220 1579820 1590842 1807775 1861900 1974775 2048090 3109373 3181684 3615550 3949550 3977105 4096180 5120225 6218746 7231100 7899100 7954210 10240450 12437492 15546865 15908420 19885525 20480900 31093730 34203103 39771050 62187460 68406206 77734325 79542100 136812412 155468650 171015515 310937300 342031030 684062060 855077575 1710155150 3420310300