Search a number
-
+
3746106 = 2327132287
BaseRepresentation
bin1110010010100100111010
321001022200200
432102210322
51424333411
6212143030
743561410
oct16224472
97038620
103746106
112129561
121307a76
13a12140
146d72b0
154dee56
hex39293a

3746106 has 48 divisors (see below), whose sum is σ = 9993984. Its totient is φ = 987552.

The previous prime is 3746089. The next prime is 3746107. The reversal of 3746106 is 6016473.

3746106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3746106.

It is not an unprimeable number, because it can be changed into a prime (3746107) 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 23 ways as a sum of consecutive naturals, for example, 495 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (208208).

Almost surely, 23746106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996992).

3746106 is an abundant number, since it is smaller than the sum of its proper divisors (6247878).

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

3746106 is a wasteful number, since it uses less digits than its factorization.

3746106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2312 counting only the distinct ones).

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

The square root of 3746106 is about 1935.4859854827. The cubic root of 3746106 is about 155.3078308361.

The spelling of 3746106 in words is "three million, seven hundred forty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2287 4574 6861 13722 16009 20583 29731 32018 41166 48027 59462 89193 96054 144081 178386 208117 267579 288162 416234 535158 624351 1248702 1873053 3746106