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3641130 = 2325231759
BaseRepresentation
bin1101111000111100101010
320211222200200
431320330222
51413004010
6210013030
742643353
oct15707452
96758620
103641130
1120676a9
121277176
139a641c
146aad2a
154bdcc0
hex378f2a

3641130 has 48 divisors (see below), whose sum is σ = 9884160. Its totient is φ = 928224.

The previous prime is 3641123. The next prime is 3641147. The reversal of 3641130 is 311463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (205920).

Almost surely, 23641130 is an apocalyptic number.

3641130 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 3641130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942080).

3641130 is an abundant number, since it is smaller than the sum of its proper divisors (6243030).

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

3641130 is a wasteful number, since it uses less digits than its factorization.

3641130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3641130 is about 1908.1745203204. The cubic root of 3641130 is about 153.8433500130.

Adding to 3641130 its reverse (311463), we get a palindrome (3952593).

The spelling of 3641130 in words is "three million, six hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1759 2070 3518 5277 8795 10554 15831 17590 26385 31662 40457 52770 79155 80914 121371 158310 202285 242742 364113 404570 606855 728226 1213710 1820565 3641130