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3683016 = 233317259
BaseRepresentation
bin1110000011001011001000
320221010011000
432003023020
51420324031
6210535000
743206441
oct16031310
96833130
103683016
112096117
121297460
139bc4cc
146bc2c8
154cb3e6
hex3832c8

3683016 has 96 divisors (see below), whose sum is σ = 11052000. Its totient is φ = 1135872.

The previous prime is 3683011. The next prime is 3683021. The reversal of 3683016 is 6103863.

3683016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3683011) and next prime (3683021).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3683011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62395 + ... + 62453.

It is an arithmetic number, because the mean of its divisors is an integer number (115125).

Almost surely, 23683016 is an apocalyptic number.

3683016 is a gapful number since it is divisible by the number (36) 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 3683016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526000).

3683016 is an abundant number, since it is smaller than the sum of its proper divisors (7368984).

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

3683016 is a wasteful number, since it uses less digits than its factorization.

3683016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3683016 is about 1919.1185476671. The cubic root of 3683016 is about 154.4310183147.

Adding to 3683016 its reverse (6103863), we get a palindrome (9786879).

The spelling of 3683016 in words is "three million, six hundred eighty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 59 68 72 102 108 118 136 153 177 204 216 236 289 306 354 408 459 472 531 578 612 708 867 918 1003 1062 1156 1224 1416 1593 1734 1836 2006 2124 2312 2601 3009 3186 3468 3672 4012 4248 5202 6018 6372 6936 7803 8024 9027 10404 12036 12744 15606 17051 18054 20808 24072 27081 31212 34102 36108 51153 54162 62424 68204 72216 102306 108324 136408 153459 204612 216648 306918 409224 460377 613836 920754 1227672 1841508 3683016