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3318133 = 72135209
BaseRepresentation
bin1100101010000101110101
320020120121211
430222011311
51322140013
6155041421
740126600
oct14520565
96216554
103318133
111966a65
121140271
138c23c0
14625337
1545823d
hex32a175

3318133 has 12 divisors (see below), whose sum is σ = 4157580. Its totient is φ = 2624832.

The previous prime is 3318109. The next prime is 3318137.

3318133 is nontrivially palindromic in base 10.

3318133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 1238769 = 1442^2 + 1113^2 .

It is not a de Polignac number, because 3318133 - 217 = 3187061 is a prime.

It is a super-2 number, since 2×33181332 = 22020013211378, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3318137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 3241.

It is an arithmetic number, because the mean of its divisors is an integer number (346465).

Almost surely, 23318133 is an apocalyptic number.

It is an amenable number.

3318133 is a deficient number, since it is larger than the sum of its proper divisors (839447).

3318133 is a wasteful number, since it uses less digits than its factorization.

3318133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5229 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 3318133 is about 1821.5743190987. The cubic root of 3318133 is about 149.1527493786.

It can be divided in two parts, 331 and 8133, that added together give a square (8464 = 922).

The spelling of 3318133 in words is "three million, three hundred eighteen thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 637 5209 36463 67717 255241 474019 3318133