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3117268 = 2271129349
BaseRepresentation
bin1011111001000011010100
312212101002101
423321003110
51244223033
6150451444
735332150
oct13710324
95771071
103117268
11183a060
121063b84
13851b4b
145b2060
1541897d
hex2f90d4

3117268 has 48 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 1169280.

The previous prime is 3117251. The next prime is 3117269. The reversal of 3117268 is 8627113.

3117268 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117269) 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, 8758 + ... + 9106.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 23117268 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 3117268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

3117268 is an abundant number, since it is smaller than the sum of its proper divisors (3938732).

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

3117268 is a wasteful number, since it uses less digits than its factorization.

3117268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 3117268 is about 1765.5786586839. The cubic root of 3117268 is about 146.0802086327.

The spelling of 3117268 in words is "three million, one hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 349 406 638 698 812 1276 1396 2233 2443 3839 4466 4886 7678 8932 9772 10121 15356 20242 26873 40484 53746 70847 107492 111331 141694 222662 283388 445324 779317 1558634 3117268