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3288064 = 21013219
BaseRepresentation
bin1100100010110000000000
320012001101011
430202300000
51320204224
6154250304
736643123
oct14426000
96161334
103288064
11194640a
121126994
138b1800
146183ba
1544e394
hex322c00

3288064 has 66 divisors (see below), whose sum is σ = 7492020. Its totient is φ = 1437696.

The previous prime is 3288053. The next prime is 3288091. The reversal of 3288064 is 4608823.

It is a happy number.

It is a super-2 number, since 2×32880642 = 21622729736192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173047 + ... + 173065.

Almost surely, 23288064 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 3288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746010).

3288064 is an abundant number, since it is smaller than the sum of its proper divisors (4203956).

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

3288064 is a wasteful number, since it uses less digits than its factorization.

3288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 3288064 is about 1813.3019605129. The cubic root of 3288064 is about 148.7008396265.

The spelling of 3288064 in words is "three million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 256 304 338 416 494 512 608 676 832 988 1024 1216 1352 1664 1976 2432 2704 3211 3328 3952 4864 5408 6422 6656 7904 9728 10816 12844 13312 15808 19456 21632 25688 31616 43264 51376 63232 86528 102752 126464 173056 205504 252928 411008 822016 1644032 3288064