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3682668 = 22311231213
BaseRepresentation
bin1110000011000101101100
320221002200010
432003011230
51420321133
6210533220
743205433
oct16030554
96832603
103682668
112095930
121297210
139bc2c2
146bc11a
154cb263
hex38316c

3682668 has 48 divisors (see below), whose sum is σ = 9789696. Its totient is φ = 1066560.

The previous prime is 3682667. The next prime is 3682687. The reversal of 3682668 is 8662863.

It is not an unprimeable number, because it can be changed into a prime (3682667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 3642.

It is an arithmetic number, because the mean of its divisors is an integer number (203952).

Almost surely, 23682668 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 3682668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894848).

3682668 is an abundant number, since it is smaller than the sum of its proper divisors (6107028).

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

3682668 is a wasteful number, since it uses less digits than its factorization.

3682668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3682668 is about 1919.0278789012. The cubic root of 3682668 is about 154.4261542135.

The spelling of 3682668 in words is "three million, six hundred eighty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1213 1518 2426 3036 3639 4852 7278 13343 14556 26686 27899 40029 53372 55798 80058 83697 111596 160116 167394 306889 334788 613778 920667 1227556 1841334 3682668