Search a number
-
+
3746226 = 2311311831
BaseRepresentation
bin1110010010100110110010
321001022212010
432102212302
51424334401
6212143350
743561641
oct16224662
97038763
103746226
112129660
121307b56
13a12203
146d7358
154deed6
hex3929b2

3746226 has 32 divisors (see below), whose sum is σ = 8441856. Its totient is φ = 1098000.

The previous prime is 3746219. The next prime is 3746227. The reversal of 3746226 is 6226473.

3746226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 38 + 76 + 49 + 68 + 27 + 29 + 68 .

It is a junction number, because it is equal to n+sod(n) for n = 3746193 and 3746202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746227) 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, 1131 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (263808).

Almost surely, 23746226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220928).

3746226 is an abundant number, since it is smaller than the sum of its proper divisors (4695630).

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

3746226 is a wasteful number, since it uses less digits than its factorization.

3746226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878.

The product of its digits is 12096, while the sum is 30.

The square root of 3746226 is about 1935.5169852006. The cubic root of 3746226 is about 155.3094891573.

The spelling of 3746226 in words is "three million, seven hundred forty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1831 2046 3662 5493 10986 20141 40282 56761 60423 113522 120846 170283 340566 624371 1248742 1873113 3746226