Search a number
-
+
330404303403330 = 235137331933597923
BaseRepresentation
bin100101100100000000011111…
…1001000101111100101000010
31121022212100020222211020220120
41023020000333020233211002
5321301321003132401310
63130413350324321110
7126410631435326562
oct11310007710574502
91538770228736816
10330404303403330
1196305750715552
1231082698843196
1311248cb88c39b0
145b83921716da2
15282e892c38b70
hex12c803f22f942

330404303403330 has 128 divisors (see below), whose sum is σ = 855576894557952. Its totient is φ = 81177181682688.

The previous prime is 330404303403313. The next prime is 330404303403341. The reversal of 330404303403330 is 33304303404033.

It is a junction number, because it is equal to n+sod(n) for n = 330404303403291 and 330404303403300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552287749 + ... + 552885671.

It is an arithmetic number, because the mean of its divisors is an integer number (6684194488734).

Almost surely, 2330404303403330 is an apocalyptic number.

330404303403330 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 330404303403330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427788447278976).

330404303403330 is an abundant number, since it is smaller than the sum of its proper divisors (525172591154622).

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

330404303403330 is a wasteful number, since it uses less digits than its factorization.

330404303403330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600612.

The product of its (nonzero) digits is 139968, while the sum is 33.

Adding to 330404303403330 its reverse (33304303404033), we get a palindrome (363708606807363).

The spelling of 330404303403330 in words is "three hundred thirty trillion, four hundred four billion, three hundred three million, four hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 733 1466 1933 2199 3665 3866 4398 5799 7330 9529 9665 10995 11598 19058 19330 21990 25129 28587 28995 47645 50258 57174 57990 75387 95290 125645 142935 150774 251290 285870 376935 597923 753870 1195846 1416889 1793769 2833778 2989615 3587538 4250667 5979230 7084445 7772999 8501334 8968845 14168890 15545998 17937690 18419557 21253335 23318997 36839114 38864995 42506670 46637994 55258671 77729990 92097785 110517342 116594985 184195570 233189970 276293355 438277559 552586710 876555118 1155785159 1314832677 2191387795 2311570318 2629665354 3467355477 4382775590 5697608267 5778925795 6574163385 6934710954 11395216534 11557851590 13148326770 15025207067 17092824801 17336777385 28488041335 30050414134 34185649602 34673554770 45075621201 56976082670 75126035335 85464124005 90151242402 150252070670 170928248010 225378106005 450756212010 847190521547 1694381043094 2541571564641 4235952607735 5083143129282 8471905215470 11013476780111 12707857823205 22026953560222 25415715646410 33040430340333 55067383900555 66080860680666 110134767801110 165202151701665 330404303403330