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320639340 = 223572191571
BaseRepresentation
bin10011000111001…
…001000101101100
3211100100011111010
4103013021011230
51124040424330
651452225220
710642250400
oct2307110554
9740304433
10320639340
11154aa109a
128b46b210
1351576228
1430827100
151d2393b0
hex131c916c

320639340 has 144 divisors (see below), whose sum is σ = 1051674624. Its totient is φ = 72777600.

The previous prime is 320639323. The next prime is 320639359. The reversal of 320639340 is 43936023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320639298 and 320639307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561255 + ... + 561825.

It is an arithmetic number, because the mean of its divisors is an integer number (7303296).

Almost surely, 2320639340 is an apocalyptic number.

320639340 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 320639340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525837312).

320639340 is an abundant number, since it is smaller than the sum of its proper divisors (731035284).

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

320639340 is a wasteful number, since it uses less digits than its factorization.

320639340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 320639340 is about 17906.4049993292. The cubic root of 320639340 is about 684.4455989803.

The spelling of 320639340 in words is "three hundred twenty million, six hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 191 196 210 245 294 382 420 490 571 573 588 735 764 955 980 1142 1146 1337 1470 1713 1910 2284 2292 2674 2855 2865 2940 3426 3820 3997 4011 5348 5710 5730 6685 6852 7994 8022 8565 9359 11420 11460 11991 13370 15988 16044 17130 18718 19985 20055 23982 26740 27979 28077 34260 37436 39970 40110 46795 47964 55958 56154 59955 79940 80220 83937 93590 109061 111916 112308 119910 139895 140385 167874 187180 218122 239820 279790 280770 327183 335748 419685 436244 545305 559580 561540 654366 763427 839370 1090610 1308732 1526854 1635915 1678740 2181220 2290281 3053708 3271830 3817135 4580562 5343989 6543660 7634270 9161124 10687978 11451405 15268540 16031967 21375956 22902810 26719945 32063934 45805620 53439890 64127868 80159835 106879780 160319670 320639340