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3320064 = 283211131
BaseRepresentation
bin1100101010100100000000
320020200021100
430222210000
51322220224
6155054400
740135326
oct14524400
96220240
103320064
111968460
121141400
138c3247
14625d16
15458ac9
hex32a900

3320064 has 108 divisors (see below), whose sum is σ = 10522512. Its totient is φ = 998400.

The previous prime is 3320059. The next prime is 3320071. The reversal of 3320064 is 4600233.

It is a super-2 number, since 2×33200642 = 22045649928192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25279 + ... + 25409.

Almost surely, 23320064 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 3320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261256).

3320064 is an abundant number, since it is smaller than the sum of its proper divisors (7202448).

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

3320064 is a wasteful number, since it uses less digits than its factorization.

3320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3320064 is about 1822.1042780258. The cubic root of 3320064 is about 149.1816771026.

Adding to 3320064 its reverse (4600233), we get a palindrome (7920297).

The spelling of 3320064 in words is "three million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 131 132 144 176 192 198 256 262 264 288 352 384 393 396 524 528 576 704 768 786 792 1048 1056 1152 1179 1408 1441 1572 1584 2096 2112 2304 2358 2816 2882 3144 3168 4192 4224 4323 4716 5764 6288 6336 8384 8448 8646 9432 11528 12576 12672 12969 16768 17292 18864 23056 25152 25344 25938 33536 34584 37728 46112 50304 51876 69168 75456 92224 100608 103752 138336 150912 184448 207504 276672 301824 368896 415008 553344 830016 1106688 1660032 3320064