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2400340 = 225120017
BaseRepresentation
bin1001001010000001010100
311111221122111
421022001110
51103302330
6123240404
726255035
oct11120124
94457574
102400340
11139a458
12979104
13660727
14466a8c
1532632a
hex24a054

2400340 has 12 divisors (see below), whose sum is σ = 5040756. Its totient is φ = 960128.

The previous prime is 2400329. The next prime is 2400347. The reversal of 2400340 is 430042.

It can be written as a sum of positive squares in 2 ways, for example, as 1674436 + 725904 = 1294^2 + 852^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2400340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59989 + ... + 60028.

It is an arithmetic number, because the mean of its divisors is an integer number (420063).

22400340 is an apocalyptic number.

2400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400340 is an abundant number, since it is smaller than the sum of its proper divisors (2640416).

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

2400340 is a wasteful number, since it uses less digits than its factorization.

2400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120026 (or 120024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2400340 is about 1549.3030691250. The cubic root of 2400340 is about 133.8929121402.

Adding to 2400340 its reverse (430042), we get a palindrome (2830382).

The spelling of 2400340 in words is "two million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 120017 240034 480068 600085 1200170 2400340