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3228660 = 223451993
BaseRepresentation
bin1100010100001111110100
320002000220000
430110033310
51311304120
6153111300
736305001
oct14241764
96060800
103228660
111905816
1210b8530
13890766
146008a8
1543b990
hex3143f4

3228660 has 60 divisors (see below), whose sum is σ = 10133508. Its totient is φ = 860544.

The previous prime is 3228593. The next prime is 3228661. The reversal of 3228660 is 668223.

3228660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 1454436 = 1332^2 + 1206^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 624 + ... + 2616.

Almost surely, 23228660 is an apocalyptic number.

3228660 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 3228660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066754).

3228660 is an abundant number, since it is smaller than the sum of its proper divisors (6904848).

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

3228660 is a wasteful number, since it uses less digits than its factorization.

3228660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3228660 is about 1796.8472389160. The cubic root of 3228660 is about 147.7998878148.

The spelling of 3228660 in words is "three million, two hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1993 3986 5979 7972 9965 11958 17937 19930 23916 29895 35874 39860 53811 59790 71748 89685 107622 119580 161433 179370 215244 269055 322866 358740 538110 645732 807165 1076220 1614330 3228660