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3000463340 = 2257312293019
BaseRepresentation
bin1011001011010111…
…0110111111101100
321202002220022220212
42302311312333230
522121104311330
61213422201552
7134232342350
oct26265667754
97662808825
103000463340
1112aa757576
126b8a232b8
1338a8173c4
142066c7460
15128636295
hexb2d76fec

3000463340 has 96 divisors (see below), whose sum is σ = 7468339200. Its totient is φ = 990869760.

The previous prime is 3000463339. The next prime is 3000463369. The reversal of 3000463340 is 433640003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992351 + ... + 995369.

It is an arithmetic number, because the mean of its divisors is an integer number (77795200).

Almost surely, 23000463340 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 3000463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734169600).

3000463340 is an abundant number, since it is smaller than the sum of its proper divisors (4467875860).

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

3000463340 is a wasteful number, since it uses less digits than its factorization.

3000463340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3000463340 is about 54776.4852833768. The cubic root of 3000463340 is about 1442.3238166980.

The spelling of 3000463340 in words is "three billion, four hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 229 310 434 458 620 868 916 1085 1145 1603 2170 2290 3019 3206 4340 4580 6038 6412 7099 8015 12076 14198 15095 16030 21133 28396 30190 32060 35495 42266 49693 60380 70990 84532 93589 99386 105665 141980 187178 198772 211330 248465 374356 422660 467945 496930 655123 691351 935890 993860 1310246 1382702 1871780 2620492 2765404 3275615 3456755 4839457 6551230 6913510 9678914 13102460 13827020 19357828 21431881 24197285 42863762 48394570 85727524 96789140 107159405 150023167 214318810 300046334 428637620 600092668 750115835 1500231670 3000463340