Search a number
-
+
3330000324 = 22327174318077
BaseRepresentation
bin1100011001111011…
…1100010111000100
322121001222112200100
43012132330113010
523304440002244
61310233244100
7145343351520
oct30636742704
98531875610
103330000324
111459775592
1278b263630
13410b874c1
14238388d80
1514752bb69
hexc67bc5c4

3330000324 has 144 divisors (see below), whose sum is σ = 10423340928. Its totient is φ = 874589184.

The previous prime is 3330000319. The next prime is 3330000347. The reversal of 3330000324 is 4230000333.

It is a super-3 number, since 3×33300003243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3330000297 and 3330000306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175174 + ... + 193250.

It is an arithmetic number, because the mean of its divisors is an integer number (72384312).

Almost surely, 23330000324 is an apocalyptic number.

3330000324 is a gapful number since it is divisible by the number (34) 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 3330000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211670464).

3330000324 is an abundant number, since it is smaller than the sum of its proper divisors (7093340604).

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

3330000324 is a wasteful number, since it uses less digits than its factorization.

3330000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18154 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3330000324 is about 57706.1549923403. The cubic root of 3330000324 is about 1493.3035306862.

Adding to 3330000324 its reverse (4230000333), we get a palindrome (7560000657).

Subtracting 3330000324 from its reverse (4230000333), we obtain a palindrome (900000009).

The spelling of 3330000324 in words is "three billion, three hundred thirty million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 119 126 129 153 172 204 238 252 258 301 306 357 387 476 516 602 612 714 731 774 903 1071 1204 1428 1462 1548 1806 2142 2193 2709 2924 3612 4284 4386 5117 5418 6579 8772 10234 10836 13158 15351 18077 20468 26316 30702 36154 46053 54231 61404 72308 92106 108462 126539 162693 184212 216924 253078 307309 325386 379617 506156 614618 650772 759234 777311 921927 1138851 1229236 1518468 1554622 1843854 2151163 2277702 2331933 2765781 3109244 3687708 4302326 4555404 4663866 5441177 5531562 6453489 6995799 8604652 9327732 10882354 11063124 12906978 13214287 13991598 16323531 19360467 21764708 25813956 26428574 27983196 32647062 38720934 39642861 48970593 52857148 65294124 77441868 79285722 92500009 97941186 118928583 158571444 185000018 195882372 237857166 277500027 370000036 475714332 555000054 832500081 1110000108 1665000162 3330000324