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3282640 = 245371109
BaseRepresentation
bin1100100001011011010000
320011202221021
430201123100
51320021030
6154205224
736621244
oct14413320
96152837
103282640
111942329
121123814
138ac1ba
14616424
1544c97a
hex3216d0

3282640 has 40 divisors (see below), whose sum is σ = 7845480. Its totient is φ = 1276416.

The previous prime is 3282599. The next prime is 3282641. The reversal of 3282640 is 462823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 3125824 = 396^2 + 1768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282641) 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, 2406 + ... + 3514.

It is an arithmetic number, because the mean of its divisors is an integer number (196137).

Almost surely, 23282640 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 3282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922740).

3282640 is an abundant number, since it is smaller than the sum of its proper divisors (4562840).

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

3282640 is a wasteful number, since it uses less digits than its factorization.

3282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3282640 is about 1811.8057291001. The cubic root of 3282640 is about 148.6190288448.

The spelling of 3282640 in words is "three million, two hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1109 1480 2218 2960 4436 5545 8872 11090 17744 22180 41033 44360 82066 88720 164132 205165 328264 410330 656528 820660 1641320 3282640