Search a number
-
+
328438859640 = 233517253163611
BaseRepresentation
bin1001100011110000111…
…10110100011101111000
31011101202110122210010220
410301320132310131320
520340120322002030
6410514400340040
732505010146513
oct4617036643570
91141673583126
10328438859640
111173211a0491
12537a1614620
1324c829456c8
1411c7a0cdd7a
158824212a10
hex4c787b4778

328438859640 has 128 divisors (see below), whose sum is σ = 1043704984320. Its totient is φ = 82397849600.

The previous prime is 328438859587. The next prime is 328438859659. The reversal of 328438859640 is 46958834823.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5131435 + ... + 5195045.

It is an arithmetic number, because the mean of its divisors is an integer number (8153945190).

Almost surely, 2328438859640 is an apocalyptic number.

328438859640 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 328438859640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521852492160).

328438859640 is an abundant number, since it is smaller than the sum of its proper divisors (715266124680).

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

328438859640 is a wasteful number, since it uses less digits than its factorization.

328438859640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66173 (or 66169 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 328438859640 in words is "three hundred twenty-eight billion, four hundred thirty-eight million, eight hundred fifty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2531 5062 7593 10124 12655 15186 20248 25310 30372 37965 43027 50620 60744 63611 75930 86054 101240 127222 129081 151860 172108 190833 215135 254444 258162 303720 318055 344216 381666 430270 508888 516324 636110 645405 763332 860540 954165 1032648 1081387 1272220 1290810 1526664 1721080 1908330 2162774 2544440 2581620 3244161 3816660 4325548 5163240 5406935 6488322 7633320 8651096 10813870 12976644 16220805 21627740 25953288 32441610 43255480 64883220 129766440 160999441 321998882 482998323 643997764 804997205 965996646 1287995528 1609994410 1931993292 2414991615 2736990497 3219988820 3863986584 4829983230 5473980994 6439977640 8210971491 9659966460 10947961988 13684952485 16421942982 19319932920 21895923976 27369904970 32843885964 41054857455 54739809940 65687771928 82109714910 109479619880 164219429820 328438859640