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3285696 = 263109157
BaseRepresentation
bin1100100010001011000000
320011221010110
430202023000
51320120241
6154231320
736633201
oct14421300
96157113
103285696
111944657
121125540
138b06cb
146175a8
1544d816
hex3222c0

3285696 has 56 divisors (see below), whose sum is σ = 8829040. Its totient is φ = 1078272.

The previous prime is 3285683. The next prime is 3285697. The reversal of 3285696 is 6965823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20850 + ... + 21006.

Almost surely, 23285696 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 3285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414520).

3285696 is an abundant number, since it is smaller than the sum of its proper divisors (5543344).

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

3285696 is a wasteful number, since it uses less digits than its factorization.

3285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 3285696 is about 1812.6488904363. The cubic root of 3285696 is about 148.6651338989.

It can be divided in two parts, 32856 and 96, that multiplied together give a square (3154176 = 17762).

The spelling of 3285696 in words is "three million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 157 192 218 314 327 436 471 628 654 872 942 1256 1308 1744 1884 2512 2616 3488 3768 5024 5232 6976 7536 10048 10464 15072 17113 20928 30144 34226 51339 68452 102678 136904 205356 273808 410712 547616 821424 1095232 1642848 3285696