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3328668 = 2233721737
BaseRepresentation
bin1100101100101010011100
320021010002000
430230222130
51323004133
6155202300
740202400
oct14545234
96233060
103328668
111973972
121146390
138c7135
14629100
1545b413
hex32ca9c

3328668 has 144 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 870912.

The previous prime is 3328621. The next prime is 3328679. The reversal of 3328668 is 8668233.

3328668 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 2×33286682 = 22160061308448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (41472) is a multiple of the sum of its prime factors (81).

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, 89946 + ... + 89982.

It is an arithmetic number, because the mean of its divisors is an integer number (75810).

Almost surely, 23328668 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 3328668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

3328668 is an abundant number, since it is smaller than the sum of its proper divisors (7587972).

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

3328668 is a wasteful number, since it uses less digits than its factorization.

3328668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3328668 is about 1824.4637568338. The cubic root of 3328668 is about 149.3104348570.

The spelling of 3328668 in words is "three million, three hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 37 42 49 51 54 63 68 74 84 98 102 108 111 119 126 147 148 153 189 196 204 222 238 252 259 294 306 333 357 378 441 444 459 476 518 588 612 629 666 714 756 777 833 882 918 999 1036 1071 1258 1323 1332 1428 1554 1666 1764 1813 1836 1887 1998 2142 2331 2499 2516 2646 3108 3213 3332 3626 3774 3996 4284 4403 4662 4998 5292 5439 5661 6426 6993 7252 7497 7548 8806 9324 9996 10878 11322 12852 13209 13986 14994 16317 16983 17612 21756 22491 22644 26418 27972 29988 30821 32634 33966 39627 44982 48951 52836 61642 65268 67932 79254 89964 92463 97902 118881 123284 158508 184926 195804 237762 277389 369852 475524 554778 832167 1109556 1664334 3328668