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3482208 = 2532107113
BaseRepresentation
bin1101010010001001100000
320112220200200
431102021200
51342412313
6202345200
741412132
oct15221140
96486620
103482208
111a69264
1211bb200
1394bca2
14669052
1548bb73
hex352260

3482208 has 72 divisors (see below), whose sum is σ = 10083528. Its totient is φ = 1139712.

The previous prime is 3482207. The next prime is 3482231. The reversal of 3482208 is 8022843.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30760 + ... + 30872.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 23482208 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 3482208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764).

3482208 is an abundant number, since it is smaller than the sum of its proper divisors (6601320).

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

3482208 is a wasteful number, since it uses less digits than its factorization.

3482208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3482208 is about 1866.0675228941. The cubic root of 3482208 is about 151.5717400326.

It can be divided in two parts, 348 and 2208, that added together give a triangular number (2556 = T71).

The spelling of 3482208 in words is "three million, four hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 113 144 214 226 288 321 339 428 452 642 678 856 904 963 1017 1284 1356 1712 1808 1926 2034 2568 2712 3424 3616 3852 4068 5136 5424 7704 8136 10272 10848 12091 15408 16272 24182 30816 32544 36273 48364 72546 96728 108819 145092 193456 217638 290184 386912 435276 580368 870552 1160736 1741104 3482208