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3004813020 = 22351121121577
BaseRepresentation
bin1011001100011001…
…1100111011011100
321202102002022120010
42303012130323130
522123213004040
61214055323220
7134314326546
oct26306347334
97672068503
103004813020
111302158550
126ba380510
1338b6ab191
142070da696
15128be4e80
hexb319cedc

3004813020 has 96 divisors (see below), whose sum is σ = 9222264576. Its totient is φ = 724953600.

The previous prime is 3004812997. The next prime is 3004813033. The reversal of 3004813020 is 203184003.

It is a happy number.

It is a congruent number.

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, 128472 + ... + 150048.

It is an arithmetic number, because the mean of its divisors is an integer number (96065256).

Almost surely, 23004813020 is an apocalyptic number.

3004813020 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 3004813020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611132288).

3004813020 is an abundant number, since it is smaller than the sum of its proper divisors (6217451556).

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

3004813020 is a wasteful number, since it uses less digits than its factorization.

3004813020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21811 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3004813020 is about 54816.1748026985. The cubic root of 3004813020 is about 1443.0204444314.

Adding to 3004813020 its reverse (203184003), we get a palindrome (3207997023).

The spelling of 3004813020 in words is "three billion, four million, eight hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 211 220 330 422 633 660 844 1055 1266 2110 2321 2532 3165 4220 4642 6330 6963 9284 11605 12660 13926 21577 23210 27852 34815 43154 46420 64731 69630 86308 107885 129462 139260 215770 237347 258924 323655 431540 474694 647310 712041 949388 1186735 1294620 1424082 2373470 2848164 3560205 4552747 4746940 7120410 9105494 13658241 14240820 18210988 22763735 27316482 45527470 50080217 54632964 68291205 91054940 100160434 136582410 150240651 200320868 250401085 273164820 300481302 500802170 600962604 751203255 1001604340 1502406510 3004813020