Search a number
-
+
3105368 = 237232411
BaseRepresentation
bin1011110110001001011000
312211202202122
423312021120
51243332433
6150320412
735252360
oct13661130
95752678
103105368
111831122
121059108
138495c6
145ab9a0
15415198
hex2f6258

3105368 has 32 divisors (see below), whose sum is σ = 6946560. Its totient is φ = 1272480.

The previous prime is 3105343. The next prime is 3105371. The reversal of 3105368 is 8635013.

3105368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (217080).

Almost surely, 23105368 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 3105368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473280).

3105368 is an abundant number, since it is smaller than the sum of its proper divisors (3841192).

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

3105368 is a wasteful number, since it uses less digits than its factorization.

3105368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3105368 is about 1762.2054363779. The cubic root of 3105368 is about 145.8940871945.

The spelling of 3105368 in words is "three million, one hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 2411 4822 9644 16877 19288 33754 55453 67508 110906 135016 221812 388171 443624 776342 1552684 3105368