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3284064 = 25347181
BaseRepresentation
bin1100100001110001100000
320011211220000
430201301200
51320042224
6154220000
736625350
oct14416140
96154800
103284064
111943403
121124600
138aca44
14616b60
1544d0c9
hex321c60

3284064 has 120 divisors (see below), whose sum is σ = 11099088. Its totient is φ = 933120.

The previous prime is 3284063. The next prime is 3284069. The reversal of 3284064 is 4604823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18054 + ... + 18234.

Almost surely, 23284064 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 3284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549544).

3284064 is an abundant number, since it is smaller than the sum of its proper divisors (7815024).

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

3284064 is a wasteful number, since it uses less digits than its factorization.

3284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3284064 is about 1812.1986646061. The cubic root of 3284064 is about 148.6405159104.

Adding to 3284064 its reverse (4604823), we get a palindrome (7888887).

The spelling of 3284064 in words is "three million, two hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 181 189 216 224 252 288 324 336 362 378 432 504 543 567 648 672 724 756 864 1008 1086 1134 1267 1296 1448 1512 1629 2016 2172 2268 2534 2592 2896 3024 3258 3801 4344 4536 4887 5068 5792 6048 6516 7602 8688 9072 9774 10136 11403 13032 14661 15204 17376 18144 19548 20272 22806 26064 29322 30408 34209 39096 40544 45612 52128 58644 60816 68418 78192 91224 102627 117288 121632 136836 156384 182448 205254 234576 273672 364896 410508 469152 547344 821016 1094688 1642032 3284064