Search a number
-
+
3303313020 = 22325719137983
BaseRepresentation
bin1100010011100100…
…1000111001111100
322112012202200120200
43010321020321330
523231122004040
61303441243500
7144600461130
oct30471107174
98465680520
103303313020
1114456a7a67
12782333590
134084a22b7
142349dd3c0
15145009630
hexc4e48e7c

3303313020 has 144 divisors (see below), whose sum is σ = 12054282240. Its totient is φ = 715298688.

The previous prime is 3303312953. The next prime is 3303313021. The reversal of 3303313020 is 203133033.

3303313020 is a `hidden beast` number, since 3 + 30 + 331 + 302 + 0 = 666.

3303313020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3303312984 and 3303313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303313021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45052 + ... + 92931.

Almost surely, 23303313020 is an apocalyptic number.

3303313020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3303313020 is an abundant number, since it is smaller than the sum of its proper divisors (8750969220).

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

3303313020 is a wasteful number, since it uses less digits than its factorization.

3303313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138024 (or 138019 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3303313020 is about 57474.4553693204. The cubic root of 3303313020 is about 1489.3036128385.

Adding to 3303313020 its reverse (203133033), we get a palindrome (3506446053).

The spelling of 3303313020 in words is "three billion, three hundred three million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 137983 275966 413949 551932 689915 827898 965881 1241847 1379830 1655796 1931762 2069745 2483694 2621677 2759660 2897643 3863524 4139490 4829405 4967388 5243354 5795286 6209235 7865031 8278980 8692929 9658810 10486708 11590572 12418470 13108385 14488215 15730062 17385858 18351739 19317620 23595093 24836940 26216770 28976430 31460124 34771716 36703478 39325155 43464645 47190186 52433540 55055217 57952860 73406956 78650310 86929290 91758695 94380372 110110434 117975465 157300620 165165651 173858580 183517390 220220868 235950930 275276085 330331302 367034780 471901860 550552170 660662604 825828255 1101104340 1651656510 3303313020