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3228840 = 233258969
BaseRepresentation
bin1100010100010010101000
320002001010200
430110102220
51311310330
6153112200
736305346
oct14242250
96061120
103228840
11190596a
1210b8660
13890874
14600996
1543ba60
hex3144a8

3228840 has 48 divisors (see below), whose sum is σ = 10494900. Its totient is φ = 860928.

The previous prime is 3228829. The next prime is 3228847. The reversal of 3228840 is 488223.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 10404 = 1794^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (3228847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4125 + ... + 4844.

Almost surely, 23228840 is an apocalyptic number.

3228840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3228840 is an abundant number, since it is smaller than the sum of its proper divisors (7266060).

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

3228840 is a wasteful number, since it uses less digits than its factorization.

3228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3228840 is about 1796.8973259483. The cubic root of 3228840 is about 147.8026344120.

The spelling of 3228840 in words is "three million, two hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8969 17938 26907 35876 44845 53814 71752 80721 89690 107628 134535 161442 179380 215256 269070 322884 358760 403605 538140 645768 807210 1076280 1614420 3228840