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4212306 = 2327101331
BaseRepresentation
bin10000000100011001010010
321221000012100
4100010121102
52034243211
6230141230
750542530
oct20043122
97830170
104212306
11241784a
1214b1816
13b463b7
147b9150
15583156
hex404652

4212306 has 48 divisors (see below), whose sum is σ = 10565568. Its totient is φ = 1188000.

The previous prime is 4212287. The next prime is 4212317. The reversal of 4212306 is 6032124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12561 + ... + 12891.

It is an arithmetic number, because the mean of its divisors is an integer number (220116).

Almost surely, 24212306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282784).

4212306 is an abundant number, since it is smaller than the sum of its proper divisors (6353262).

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

4212306 is a wasteful number, since it uses less digits than its factorization.

4212306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4212306 is about 2052.3903137561. The cubic root of 4212306 is about 161.5002891489.

The spelling of 4212306 in words is "four million, two hundred twelve thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 331 606 662 707 909 993 1414 1818 1986 2121 2317 2979 4242 4634 5958 6363 6951 12726 13902 20853 33431 41706 66862 100293 200586 234017 300879 468034 601758 702051 1404102 2106153 4212306