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3228414 = 237279139
BaseRepresentation
bin1100010100001011111110
320002000112220
430110023332
51311302124
6153110210
736304200
oct14241376
96060486
103228414
111905612
1210b8366
13890607
14600770
1543b879
hex3142fe

3228414 has 48 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 904176.

The previous prime is 3228413. The next prime is 3228427. The reversal of 3228414 is 4148223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228413) 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, 23157 + ... + 23295.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 23228414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3228414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

3228414 is an abundant number, since it is smaller than the sum of its proper divisors (4432386).

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

3228414 is a wasteful number, since it uses less digits than its factorization.

3228414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3228414 is about 1796.7787843805. The cubic root of 3228414 is about 147.7961339668.

The spelling of 3228414 in words is "three million, two hundred twenty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 139 147 158 237 278 294 417 474 553 834 973 1106 1659 1946 2919 3318 3871 5838 6811 7742 10981 11613 13622 20433 21962 23226 32943 40866 65886 76867 153734 230601 461202 538069 1076138 1614207 3228414