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3225840 = 243513441
BaseRepresentation
bin1100010011100011110000
320001220000120
430103203300
51311211330
6153050240
736263532
oct14234360
96056016
103225840
111903692
1210b6980
1388c3a7
145dd852
1543ac10
hex3138f0

3225840 has 40 divisors (see below), whose sum is σ = 10000848. Its totient is φ = 860160.

The previous prime is 3225823. The next prime is 3225841. The reversal of 3225840 is 485223.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3225840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225841) 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, 6481 + ... + 6960.

Almost surely, 23225840 is an apocalyptic number.

3225840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3225840 is an abundant number, since it is smaller than the sum of its proper divisors (6775008).

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

3225840 is a wasteful number, since it uses less digits than its factorization.

3225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3225840 is about 1796.0623597192. The cubic root of 3225840 is about 147.7568444583.

The spelling of 3225840 in words is "three million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13441 26882 40323 53764 67205 80646 107528 134410 161292 201615 215056 268820 322584 403230 537640 645168 806460 1075280 1612920 3225840