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3497256 = 23357257
BaseRepresentation
bin1101010101110100101000
320120200100000
431111310220
51343403011
6202543000
741504040
oct15256450
96520300
103497256
111a795a4
121207a60
13955aa9
14670720
15491356
hex355d28

3497256 has 96 divisors (see below), whose sum is σ = 11269440. Its totient is φ = 995328.

The previous prime is 3497243. The next prime is 3497267. The reversal of 3497256 is 6527943.

3497256 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 (36).

It is a d-powerful number, because it can be written as 313 + 47 + 95 + 75 + 217 + 5 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3497256.

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 23 ways as a sum of consecutive naturals, for example, 13480 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (117390).

Almost surely, 23497256 is an apocalyptic number.

3497256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634720).

3497256 is an abundant number, since it is smaller than the sum of its proper divisors (7772184).

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

3497256 is a wasteful number, since it uses less digits than its factorization.

3497256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3497256 is about 1870.0951847433. The cubic root of 3497256 is about 151.7897601242.

The spelling of 3497256 in words is "three million, four hundred ninety-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 257 324 378 486 504 514 567 648 756 771 972 1028 1134 1512 1542 1701 1799 1944 2056 2268 2313 3084 3402 3598 4536 4626 5397 6168 6804 6939 7196 9252 10794 13608 13878 14392 16191 18504 20817 21588 27756 32382 41634 43176 48573 55512 62451 64764 83268 97146 124902 129528 145719 166536 194292 249804 291438 388584 437157 499608 582876 874314 1165752 1748628 3497256