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3481000 = 2353592
BaseRepresentation
bin1101010001110110101000
320112212000221
431101312220
51342343000
6202335424
741405455
oct15216650
96485027
103481000
111a68366
1211ba574
1394b583
1466882c
1548b61a
hex351da8

3481000 has 48 divisors (see below), whose sum is σ = 8285940. Its totient is φ = 1368800.

The previous prime is 3480991. The next prime is 3481001. The reversal of 3481000 is 1843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3481000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2353156 + 1127844 = 1534^2 + 1062^2 .

It is a super-2 number, since 2×34810002 = 24234722000000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 58971 + ... + 59029.

Almost surely, 23481000 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 3481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142970).

3481000 is an abundant number, since it is smaller than the sum of its proper divisors (4804940).

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

3481000 is an equidigital number, since it uses as much as digits as its factorization.

3481000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3481000 is about 1865.7438194993. The cubic root of 3481000 is about 151.5542109400.

Adding to 3481000 its reverse (1843), we get a palindrome (3482843).

The spelling of 3481000 in words is "three million, four hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 3481 5900 6962 7375 11800 13924 14750 17405 27848 29500 34810 59000 69620 87025 139240 174050 348100 435125 696200 870250 1740500 3481000