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3117834 = 2321723443
BaseRepresentation
bin1011111001001100001010
312212101212100
423321030022
51244232314
6150454230
735333616
oct13711412
95771770
103117834
11183a525
121064376
13852195
145b2346
15418c09
hex2f930a

3117834 has 48 divisors (see below), whose sum is σ = 7480512. Its totient is φ = 933504.

The previous prime is 3117833. The next prime is 3117847. The reversal of 3117834 is 4387113.

3117834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3117798 and 3117807.

It is not an unprimeable number, because it can be changed into a prime (3117833) 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, 6817 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (155844).

Almost surely, 23117834 is an apocalyptic number.

3117834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740256).

3117834 is an abundant number, since it is smaller than the sum of its proper divisors (4362678).

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

3117834 is a wasteful number, since it uses less digits than its factorization.

3117834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 3117834 is about 1765.7389388015. The cubic root of 3117834 is about 146.0890493221.

The spelling of 3117834 in words is "three million, one hundred seventeen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 443 782 886 1173 1329 2346 2658 3519 3987 7038 7531 7974 10189 15062 20378 22593 30567 45186 61134 67779 91701 135558 173213 183402 346426 519639 1039278 1558917 3117834