Search a number
-
+
320443020030 = 23573112927583
BaseRepresentation
bin1001010100110111110…
…01000111001011111110
31010122010020002001020010
410222123321013023332
520222231403120110
6403113130004050
732102606505000
oct4523371071376
91118106061203
10320443020030
11113998804881
125212b876626
13242aa22b173
141171c1ca370
15850728a020
hex4a9be472fe

320443020030 has 128 divisors (see below), whose sum is σ = 897693696000. Its totient is φ = 73176590592.

The previous prime is 320443020013. The next prime is 320443020041. The reversal of 320443020030 is 30020344023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 320443019979 and 320443020006.

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 63 ways as a sum of consecutive naturals, for example, 11603619 + ... + 11631201.

It is an arithmetic number, because the mean of its divisors is an integer number (7013232000).

Almost surely, 2320443020030 is an apocalyptic number.

320443020030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320443020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846848000).

320443020030 is an abundant number, since it is smaller than the sum of its proper divisors (577250675970).

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

320443020030 is a wasteful number, since it uses less digits than its factorization.

320443020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28743 (or 28729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 320443020030 its reverse (30020344023), we get a palindrome (350463364053).

The spelling of 320443020030 in words is "three hundred twenty billion, four hundred forty-three million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1129 1470 1715 2058 2258 3387 3430 5145 5645 6774 7903 10290 11290 15806 16935 23709 27583 33870 39515 47418 55166 55321 79030 82749 110642 118545 137915 165498 165963 193081 237090 275830 276605 331926 386162 387247 413745 553210 579243 774494 827490 829815 965405 1158486 1161741 1351567 1659630 1930810 1936235 2323482 2703134 2896215 3872470 4054701 5792430 5808705 6757835 8109402 9460969 11617410 13515670 18921938 20273505 28382907 31141207 40547010 47304845 56765814 62282414 93423621 94609690 141914535 155706035 186847242 217988449 283829070 311412070 435976898 467118105 653965347 934236210 1089942245 1307930694 1525919143 2179884490 3051838286 3269826735 4577757429 6539653470 7629595715 9155514858 10681434001 15259191430 21362868002 22888787145 32044302003 45777574290 53407170005 64088604006 106814340010 160221510015 320443020030