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3323364 = 22311171481
BaseRepresentation
bin1100101011010111100100
320020211210120
430223113210
51322321424
6155121540
740151052
oct14532744
96224716
103323364
11196a990
1211432b0
138c48b5
146271d2
15459a79
hex32b5e4

3323364 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 947200.

The previous prime is 3323311. The next prime is 3323399. The reversal of 3323364 is 4633233.

It is a super-2 number, since 2×33233642 = 22089496552992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 33 + 221 + 35 + 311 + 63 + 410 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 23323364 is an apocalyptic number.

3323364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

3323364 is an abundant number, since it is smaller than the sum of its proper divisors (5639772).

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

3323364 is a wasteful number, since it uses less digits than its factorization.

3323364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1514 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 3323364 is about 1823.0095995359. The cubic root of 3323364 is about 149.2310874470.

Adding to 3323364 its reverse (4633233), we get a palindrome (7956597).

The spelling of 3323364 in words is "three million, three hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1481 2244 2962 4443 5924 8886 16291 17772 25177 32582 48873 50354 65164 75531 97746 100708 151062 195492 276947 302124 553894 830841 1107788 1661682 3323364