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3324006 = 2327233137
BaseRepresentation
bin1100101011100001100110
320020212200100
430223201212
51322332011
6155124530
740152660
oct14534146
96225610
103324006
111970414
121143746
138c4c8a
14627530
15459d56
hex32b866

3324006 has 96 divisors (see below), whose sum is σ = 9105408. Its totient is φ = 855360.

The previous prime is 3323989. The next prime is 3324017. The reversal of 3324006 is 6004233.

3324006 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 2×33240062 = 22098031776072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3324006.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 89820 + ... + 89856.

It is an arithmetic number, because the mean of its divisors is an integer number (94848).

Almost surely, 23324006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552704).

3324006 is an abundant number, since it is smaller than the sum of its proper divisors (5781402).

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

3324006 is a wasteful number, since it uses less digits than its factorization.

3324006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3324006 is about 1823.1856734847. The cubic root of 3324006 is about 149.2406962038.

Adding to 3324006 its reverse (6004233), we get a palindrome (9328239).

The spelling of 3324006 in words is "three million, three hundred twenty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 37 42 46 62 63 69 74 93 111 126 138 161 186 207 217 222 259 279 322 333 414 434 483 518 558 651 666 713 777 851 966 1147 1302 1426 1449 1554 1702 1953 2139 2294 2331 2553 2898 3441 3906 4278 4662 4991 5106 5957 6417 6882 7659 8029 9982 10323 11914 12834 14973 15318 16058 17871 20646 24087 26381 29946 35742 44919 48174 52762 53613 72261 79143 89838 107226 144522 158286 184667 237429 369334 474858 554001 1108002 1662003 3324006