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3305484 = 22327131009
BaseRepresentation
bin1100100111000000001100
320012221021100
430213000030
51321233414
6154503100
740044660
oct14470014
96187240
103305484
111958506
121134a90
138b9710
146208a0
15454609
hex32700c

3305484 has 72 divisors (see below), whose sum is σ = 10293920. Its totient is φ = 870912.

The previous prime is 3305483. The next prime is 3305501. The reversal of 3305484 is 4845033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3305483) 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, 2772 + ... + 3780.

Almost surely, 23305484 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 3305484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146960).

3305484 is an abundant number, since it is smaller than the sum of its proper divisors (6988436).

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

3305484 is a wasteful number, since it uses less digits than its factorization.

3305484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3305484 is about 1818.0990072051. The cubic root of 3305484 is about 148.9629804583.

The spelling of 3305484 in words is "three million, three hundred five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1009 1092 1638 2018 3027 3276 4036 6054 7063 9081 12108 13117 14126 18162 21189 26234 28252 36324 39351 42378 52468 63567 78702 84756 91819 118053 127134 157404 183638 236106 254268 275457 367276 472212 550914 826371 1101828 1652742 3305484