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3363668 = 2271167163
BaseRepresentation
bin1100110101001101010100
320022220002022
430311031110
51330114133
6200032312
740406420
oct14651524
96286068
103363668
1119981a0
121162698
1390a049
14637b80
15466998
hex335354

3363668 has 48 divisors (see below), whose sum is σ = 7494144. Its totient is φ = 1283040.

The previous prime is 3363667. The next prime is 3363673. The reversal of 3363668 is 8663633.

3363668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33636682 = 22628524828448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363667) 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 15 ways as a sum of consecutive naturals, for example, 20555 + ... + 20717.

It is an arithmetic number, because the mean of its divisors is an integer number (156128).

Almost surely, 23363668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747072).

3363668 is an abundant number, since it is smaller than the sum of its proper divisors (4130476).

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

3363668 is a wasteful number, since it uses less digits than its factorization.

3363668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 3363668 is about 1834.0305340970. The cubic root of 3363668 is about 149.8319302726.

Subtracting from 3363668 its sum of digits (35), we obtain a palindrome (3363633).

It can be divided in two parts, 336 and 3668, that added together give a palindrome (4004).

The spelling of 3363668 in words is "three million, three hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 163 268 308 326 469 652 737 938 1141 1474 1793 1876 2282 2948 3586 4564 5159 7172 10318 10921 12551 20636 21842 25102 43684 50204 76447 120131 152894 240262 305788 480524 840917 1681834 3363668