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3285900 = 2233521217
BaseRepresentation
bin1100100010001110001100
320011221102000
430202032030
51320122100
6154232300
736633612
oct14421614
96157360
103285900
111944822
121125690
138b0827
146176b2
1544d900
hex32238c

3285900 has 72 divisors (see below), whose sum is σ = 10572240. Its totient is φ = 875520.

The previous prime is 3285889. The next prime is 3285901. The reversal of 3285900 is 95823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3285901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092 + ... + 3308.

Almost surely, 23285900 is an apocalyptic number.

3285900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286120).

3285900 is an abundant number, since it is smaller than the sum of its proper divisors (7286340).

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

3285900 is a wasteful number, since it uses less digits than its factorization.

3285900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3285900 is about 1812.7051608025. The cubic root of 3285900 is about 148.6682105743.

The spelling of 3285900 in words is "three million, two hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1217 1350 2434 2700 3651 4868 6085 7302 10953 12170 14604 18255 21906 24340 30425 32859 36510 43812 54765 60850 65718 73020 91275 109530 121700 131436 164295 182550 219060 273825 328590 365100 547650 657180 821475 1095300 1642950 3285900