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3285680 = 24567613
BaseRepresentation
bin1100100010001010110000
320011221002212
430202022300
51320120210
6154231252
736633146
oct14421260
96157085
103285680
111944642
121125528
138b06b8
14617596
1544d805
hex3222b0

3285680 has 40 divisors (see below), whose sum is σ = 7765872. Its totient is φ = 1292544.

The previous prime is 3285679. The next prime is 3285683. The reversal of 3285680 is 865823.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3285683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5054 + ... + 5666.

Almost surely, 23285680 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 3285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882936).

3285680 is an abundant number, since it is smaller than the sum of its proper divisors (4480192).

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

3285680 is a wasteful number, since it uses less digits than its factorization.

3285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3285680 is about 1812.6444770004. The cubic root of 3285680 is about 148.6648925856.

The spelling of 3285680 in words is "three million, two hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 613 670 1072 1226 1340 2452 2680 3065 4904 5360 6130 9808 12260 24520 41071 49040 82142 164284 205355 328568 410710 657136 821420 1642840 3285680