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3243035466 = 23211223411579
BaseRepresentation
bin1100000101001100…
…1100101101001010
322101000100021022200
43001103030231022
523120204113331
61253445301030
7143236226616
oct30123145512
98330307280
103243035466
111414677600
12766104776
133c8b58bc8
1422a9cc346
1513ea9e5e6
hexc14ccb4a

3243035466 has 144 divisors (see below), whose sum is σ = 8261023680. Its totient is φ = 916502400.

The previous prime is 3243035441. The next prime is 3243035513. The reversal of 3243035466 is 6645303423.

3243035466 is a `hidden beast` number, since 3 + 243 + 0 + 354 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3243035466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2053065 + ... + 2054643.

It is an arithmetic number, because the mean of its divisors is an integer number (57368220).

Almost surely, 23243035466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243035466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130511840).

3243035466 is an abundant number, since it is smaller than the sum of its proper divisors (5017988214).

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

3243035466 is a wasteful number, since it uses less digits than its factorization.

3243035466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3243035466 is about 56947.6554916882. The cubic root of 3243035466 is about 1480.1892054795.

Adding to 3243035466 its reverse (6645303423), we get a palindrome (9888338889).

It can be divided in two parts, 32430 and 35466, that added together give a triangular number (67896 = T368).

The spelling of 3243035466 in words is "three billion, two hundred forty-three million, thirty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 41 46 66 69 82 99 121 123 138 198 207 242 246 253 363 369 414 451 506 726 738 759 902 943 1089 1353 1518 1579 1886 2178 2277 2706 2783 2829 3158 4059 4554 4737 4961 5566 5658 8118 8349 8487 9474 9922 10373 14211 14883 16698 16974 17369 20746 25047 28422 29766 31119 34738 36317 44649 50094 52107 62238 64739 72634 89298 93357 104214 108951 114103 129478 156321 186714 191059 194217 217902 228206 312642 326853 342309 382118 388434 399487 573177 582651 653706 684618 712129 798974 1026927 1146354 1165302 1198461 1424258 1488997 1719531 2053854 2136387 2396922 2977994 3439062 3595383 4272774 4394357 4466991 6409161 7190766 7833419 8788714 8933982 12818322 13183071 13400973 15666838 16378967 23500257 26366142 26801946 32757934 39549213 47000514 49136901 70500771 79098426 98273802 141001542 147410703 180168637 294821406 360337274 540505911 1081011822 1621517733 3243035466