Search a number
-
+
304635645420 = 2235163100930871
BaseRepresentation
bin1000110111011011011…
…00110000110111101100
31002010022120201012210020
410123231230300313230
514442343211123140
6351540411042140
731003104155511
oct4335554606754
91063276635706
10304635645420
11108216975317
124b059a40350
132295b349672
1410a5ca7b308
157dce6436d0
hex46edb30dec

304635645420 has 96 divisors (see below), whose sum is σ = 859091197440. Its totient is φ = 80655160320.

The previous prime is 304635645401. The next prime is 304635645427. The reversal of 304635645420 is 24546536403.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (304635645427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9852585 + ... + 9883455.

It is an arithmetic number, because the mean of its divisors is an integer number (8948866640).

Almost surely, 2304635645420 is an apocalyptic number.

304635645420 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 304635645420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429545598720).

304635645420 is an abundant number, since it is smaller than the sum of its proper divisors (554455552020).

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

304635645420 is a wasteful number, since it uses less digits than its factorization.

304635645420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32055 (or 32053 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 304635645420 in words is "three hundred four billion, six hundred thirty-five million, six hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1009 1630 1956 2018 2445 3027 3260 4036 4890 5045 6054 9780 10090 12108 15135 20180 30270 30871 60540 61742 92613 123484 154355 164467 185226 308710 328934 370452 463065 493401 617420 657868 822335 926130 986802 1644670 1852260 1973604 2467005 3289340 4934010 5031973 9868020 10063946 15095919 20127892 25159865 30191838 31148839 50319730 60383676 62297678 75479595 93446517 100639460 124595356 150959190 155744195 186893034 301918380 311488390 373786068 467232585 622976780 934465170 1868930340 5077260757 10154521514 15231782271 20309043028 25386303785 30463564542 50772607570 60927129084 76158911355 101545215140 152317822710 304635645420