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3293406666 = 23211103167967
BaseRepresentation
bin1100010001001101…
…0110010111001010
322111112010101121200
43010103112113022
523221103003131
61302445045030
7144420331464
oct30423262712
98445111550
103293406666
1114400511a0
1277ab56776
13406414254
14233581134
151441ee2e6
hexc44d65ca

3293406666 has 96 divisors (see below), whose sum is σ = 7915235328. Its totient is φ = 981378720.

The previous prime is 3293406661. The next prime is 3293406671. The reversal of 3293406666 is 6666043923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3293406661) and next prime (3293406671).

It is not an unprimeable number, because it can be changed into a prime (3293406661) 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, 3405315 + ... + 3406281.

It is an arithmetic number, because the mean of its divisors is an integer number (82450368).

Almost surely, 23293406666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3293406666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957617664).

3293406666 is an abundant number, since it is smaller than the sum of its proper divisors (4621828662).

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

3293406666 is a wasteful number, since it uses less digits than its factorization.

3293406666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3293406666 is about 57388.2101655035. The cubic root of 3293406666 is about 1487.8133572916.

The spelling of 3293406666 in words is "three billion, two hundred ninety-three million, four hundred six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 167 198 206 309 334 501 618 927 967 1002 1133 1503 1837 1854 1934 2266 2901 3006 3399 3674 5511 5802 6798 8703 10197 10637 11022 16533 17201 17406 20394 21274 31911 33066 34402 51603 63822 95733 99601 103206 154809 161489 189211 191466 199202 298803 309618 322978 378422 484467 567633 597606 896409 968934 1095611 1135266 1453401 1702899 1776379 1792818 2191222 2906802 3286833 3405798 3552758 5329137 6573666 9860499 10658274 15987411 16633367 19720998 31974822 33266734 49900101 99800202 149700303 182967037 299400606 365934074 548901111 1097802222 1646703333 3293406666