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3682168 = 237471399
BaseRepresentation
bin1110000010111101111000
320221001222121
432002331320
51420312133
6210531024
743204120
oct16027570
96831877
103682168
112095516
121296a74
139bbcc9
146bbc80
154cb02d
hex382f78

3682168 has 32 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1543392.

The previous prime is 3682123. The next prime is 3682171. The reversal of 3682168 is 8612863.

It is a super-2 number, since 2×36821682 = 27116722360448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 3331.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 23682168 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 3682168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

3682168 is an abundant number, since it is smaller than the sum of its proper divisors (4381832).

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

3682168 is a wasteful number, since it uses less digits than its factorization.

3682168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1455 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 3682168 is about 1918.8976001861. The cubic root of 3682168 is about 154.4191650260.

The spelling of 3682168 in words is "three million, six hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 1399 2632 2798 5596 9793 11192 19586 39172 65753 78344 131506 263012 460271 526024 920542 1841084 3682168