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3354288 = 243767149
BaseRepresentation
bin1100110010111010110000
320022102012220
430302322300
51324314123
6155521040
740340160
oct14627260
96272186
103354288
111991143
121159180
139059b2
146345a0
15463ce3
hex332eb0

3354288 has 80 divisors (see below), whose sum is σ = 10118400. Its totient is φ = 937728.

The previous prime is 3354283. The next prime is 3354289. The reversal of 3354288 is 8824533.

3354288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33542882 = 22502495973888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354283) 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 15 ways as a sum of consecutive naturals, for example, 22438 + ... + 22586.

It is an arithmetic number, because the mean of its divisors is an integer number (126480).

Almost surely, 23354288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059200).

3354288 is an abundant number, since it is smaller than the sum of its proper divisors (6764112).

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

3354288 is a wasteful number, since it uses less digits than its factorization.

3354288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3354288 is about 1831.4715395004. The cubic root of 3354288 is about 149.6925257166.

The spelling of 3354288 in words is "three million, three hundred fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 149 168 201 268 298 336 402 447 469 536 596 804 894 938 1043 1072 1192 1407 1608 1788 1876 2086 2384 2814 3129 3216 3576 3752 4172 5628 6258 7152 7504 8344 9983 11256 12516 16688 19966 22512 25032 29949 39932 50064 59898 69881 79864 119796 139762 159728 209643 239592 279524 419286 479184 559048 838572 1118096 1677144 3354288