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3249090 = 2325132777
BaseRepresentation
bin1100011001001111000010
320010001220200
430121033002
51312432330
6153350030
736421365
oct14311702
96101820
103249090
11191a0a9
121108316
13899b50
146080dc
15442a60
hex3193c2

3249090 has 48 divisors (see below), whose sum is σ = 9100728. Its totient is φ = 799488.

The previous prime is 3249083. The next prime is 3249097. The reversal of 3249090 is 909423.

It is an interprime number because it is at equal distance from previous prime (3249083) and next prime (3249097).

It can be written as a sum of positive squares in 4 ways, for example, as 1418481 + 1830609 = 1191^2 + 1353^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3249097) 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, 219 + ... + 2558.

Almost surely, 23249090 is an apocalyptic number.

3249090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3249090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550364).

3249090 is an abundant number, since it is smaller than the sum of its proper divisors (5851638).

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

3249090 is a wasteful number, since it uses less digits than its factorization.

3249090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3249090 is about 1802.5232314730. The cubic root of 3249090 is about 148.1109771482.

It can be divided in two parts, 32490 and 90, that multiplied together give a square (2924100 = 17102).

The spelling of 3249090 in words is "three million, two hundred forty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2777 5554 8331 13885 16662 24993 27770 36101 41655 49986 72202 83310 108303 124965 180505 216606 249930 324909 361010 541515 649818 1083030 1624545 3249090