Search a number
-
+
2002340 = 225531889
BaseRepresentation
bin111101000110110100100
310202201200202
413220312210
51003033330
6110530032
723006504
oct7506644
93681622
102002340
11114842a
12806918
13551522
143a1a04
15298445
hex1e8da4

2002340 has 24 divisors (see below), whose sum is σ = 4286520. Its totient is φ = 785408.

The previous prime is 2002339. The next prime is 2002349. The reversal of 2002340 is 432002.

It can be written as a sum of positive squares in 4 ways, for example, as 343396 + 1658944 = 586^2 + 1288^2 .

It is not an unprimeable number, because it can be changed into a prime (2002349) 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, 116 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

22002340 is an apocalyptic number.

2002340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002340 is an abundant number, since it is smaller than the sum of its proper divisors (2284180).

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

2002340 is a wasteful number, since it uses less digits than its factorization.

2002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2002340 is about 1415.0406354589. The cubic root of 2002340 is about 126.0412227595.

Adding to 2002340 its reverse (432002), we get a palindrome (2434342).

The spelling of 2002340 in words is "two million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1889 3778 7556 9445 18890 37780 100117 200234 400468 500585 1001170 2002340