Search a number
-
+
290363204340 = 2232511146648083
BaseRepresentation
bin1000011100110101111…
…11101110001011110100
31000202110220121002022100
410032122333232023310
514224130440014330
6341220243102100
726656320341226
oct4163277561364
91022426532270
10290363204340
11102162506070
1248336071930
13214c546b861
14100a7326416
157846647060
hex439afee2f4

290363204340 has 72 divisors (see below), whose sum is σ = 960838246368. Its totient is φ = 70391079360.

The previous prime is 290363204267. The next prime is 290363204359. The reversal of 290363204340 is 43402363092.

290363204340 is a `hidden beast` number, since 2 + 90 + 363 + 204 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290363204295 and 290363204304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73322062 + ... + 73326021.

It is an arithmetic number, because the mean of its divisors is an integer number (13344975644).

Almost surely, 2290363204340 is an apocalyptic number.

290363204340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290363204340 is an abundant number, since it is smaller than the sum of its proper divisors (670475042028).

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

290363204340 is a wasteful number, since it uses less digits than its factorization.

290363204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146648109 (or 146648104 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 290363204340 in words is "two hundred ninety billion, three hundred sixty-three million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 146648083 293296166 439944249 586592332 733240415 879888498 1319832747 1466480830 1613128913 1759776996 2199721245 2639665494 2932961660 3226257826 4399442490 4839386739 5279330988 6452515652 6599163735 8065644565 8798884980 9678773478 13198327470 14518160217 16131289130 19357546956 24196933695 26396654940 29036320434 32262578260 48393867390 58072640868 72590801085 96787734780 145181602170 290363204340