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3481008 = 243471543
BaseRepresentation
bin1101010001110110110000
320112212001020
431101312300
51342343013
6202335440
741405466
oct15216660
96485036
103481008
111a68373
1211ba580
1394b58b
14668836
1548b623
hex351db0

3481008 has 40 divisors (see below), whose sum is σ = 9189888. Its totient is φ = 1134912.

The previous prime is 3481007. The next prime is 3481019. The reversal of 3481008 is 8001843.

3481008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3481001) 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 7 ways as a sum of consecutive naturals, for example, 1485 + ... + 3027.

Almost surely, 23481008 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 3481008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594944).

3481008 is an abundant number, since it is smaller than the sum of its proper divisors (5708880).

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

3481008 is a wasteful number, since it uses less digits than its factorization.

3481008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3481008 is about 1865.7459634152. The cubic root of 3481008 is about 151.5543270401.

The spelling of 3481008 in words is "three million, four hundred eighty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1543 2256 3086 4629 6172 9258 12344 18516 24688 37032 72521 74064 145042 217563 290084 435126 580168 870252 1160336 1740504 3481008