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3726216 = 2333131327
BaseRepresentation
bin1110001101101110001000
321000022102000
432031232020
51423214331
6211511000
743446414
oct16155610
97008360
103726216
11211561a
1212b8460
13a06080
146cdd44
154d90e6
hex38db88

3726216 has 64 divisors (see below), whose sum is σ = 11155200. Its totient is φ = 1145664.

The previous prime is 3726211. The next prime is 3726221. The reversal of 3726216 is 6126273.

It is a happy number.

3726216 is a `hidden beast` number, since 37 + 2 + 621 + 6 = 666.

3726216 is digitally balanced in base 2, 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 (3726211) and next prime (3726221).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3726216.

It is not an unprimeable number, because it can be changed into a prime (3726211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2145 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (174300).

Almost surely, 23726216 is an apocalyptic number.

3726216 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 3726216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577600).

3726216 is an abundant number, since it is smaller than the sum of its proper divisors (7428984).

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

3726216 is a wasteful number, since it uses less digits than its factorization.

3726216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3726216 is about 1930.3409025351. The cubic root of 3726216 is about 155.0324732517.

The spelling of 3726216 in words is "three million, seven hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1327 1404 2654 2808 3981 5308 7962 10616 11943 15924 17251 23886 31848 34502 35829 47772 51753 69004 71658 95544 103506 138008 143316 155259 207012 286632 310518 414024 465777 621036 931554 1242072 1863108 3726216