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30353466 = 231113172081
BaseRepresentation
bin111001111001…
…0100000111010
32010010010010110
41303302200322
530232302331
63002325150
7516000033
oct163624072
963103113
1030353466
1116152010
12a1b97b6
136399b40
144061a8a
1529e8946
hex1cf283a

30353466 has 64 divisors (see below), whose sum is σ = 75551616. Its totient is φ = 7987200.

The previous prime is 30353461. The next prime is 30353467. The reversal of 30353466 is 66435303.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (30353461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13546 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (1180494).

Almost surely, 230353466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30353466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37775808).

30353466 is an abundant number, since it is smaller than the sum of its proper divisors (45198150).

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

30353466 is a wasteful number, since it uses less digits than its factorization.

30353466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 30353466 is about 5509.3979707405. The cubic root of 30353466 is about 311.9388234755.

Adding to 30353466 its reverse (66435303), we get a palindrome (96788769).

The spelling of 30353466 in words is "thirty million, three hundred fifty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2081 2431 4162 4862 6243 7293 12486 14586 22891 27053 35377 45782 54106 68673 70754 81159 106131 137346 162318 212262 297583 389147 459901 595166 778294 892749 919802 1167441 1379703 1785498 2334882 2759406 5058911 10117822 15176733 30353466