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3286240 = 255192347
BaseRepresentation
bin1100100010010011100000
320011221212121
430202103200
51320124430
6154234024
736634606
oct14422340
96157777
103286240
111945001
121125914
138b0a29
14617876
1544da7a
hex3224e0

3286240 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1165824.

The previous prime is 3286207. The next prime is 3286247. The reversal of 3286240 is 426823.

It is a happy number.

3286240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69897 + ... + 69943.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23286240 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 3286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3286240 is an abundant number, since it is smaller than the sum of its proper divisors (5422880).

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

3286240 is a wasteful number, since it uses less digits than its factorization.

3286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3286240 is about 1812.7989408647. The cubic root of 3286240 is about 148.6733380835.

The spelling of 3286240 in words is "three million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 47 76 80 92 94 95 115 152 160 184 188 190 230 235 304 368 376 380 437 460 470 608 736 752 760 874 893 920 940 1081 1504 1520 1748 1786 1840 1880 2162 2185 3040 3496 3572 3680 3760 4324 4370 4465 5405 6992 7144 7520 8648 8740 8930 10810 13984 14288 17296 17480 17860 20539 21620 28576 34592 34960 35720 41078 43240 69920 71440 82156 86480 102695 142880 164312 172960 205390 328624 410780 657248 821560 1643120 3286240