Search a number
-
+
3091608 = 233413367
BaseRepresentation
bin1011110010110010011000
312211001220000
423302302120
51242412413
6150133000
735164302
oct13626230
95731800
103091608
111821853
121051160
13843270
145a6972
15411073
hex2f2c98

3091608 has 80 divisors (see below), whose sum is σ = 9350880. Its totient is φ = 948672.

The previous prime is 3091607. The next prime is 3091633. The reversal of 3091608 is 8061903.

3091608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3091607) 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 19 ways as a sum of consecutive naturals, for example, 8241 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (116886).

Almost surely, 23091608 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 3091608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675440).

3091608 is an abundant number, since it is smaller than the sum of its proper divisors (6259272).

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

3091608 is a wasteful number, since it uses less digits than its factorization.

3091608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3091608 is about 1758.2969032561. The cubic root of 3091608 is about 145.6782807730.

The spelling of 3091608 in words is "three million, ninety-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 367 468 648 702 734 936 1053 1101 1404 1468 2106 2202 2808 2936 3303 4212 4404 4771 6606 8424 8808 9542 9909 13212 14313 19084 19818 26424 28626 29727 38168 39636 42939 57252 59454 79272 85878 114504 118908 128817 171756 237816 257634 343512 386451 515268 772902 1030536 1545804 3091608