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2386240 = 2657457
BaseRepresentation
bin1001000110100101000000
311111020022021
421012211000
51102324430
6123051224
726165653
oct11064500
94436267
102386240
11138a8aa
12970b14
1365719c
1446189a
1532207a
hex246940

2386240 has 28 divisors (see below), whose sum is σ = 5682996. Its totient is φ = 954368.

The previous prime is 2386217. The next prime is 2386247. The reversal of 2386240 is 426832.

It is a happy number.

2386240 is digitally balanced in base 5, 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 788544 + 1597696 = 888^2 + 1264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2386247) 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, 3409 + ... + 4048.

22386240 is an apocalyptic number.

2386240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2386240 is an abundant number, since it is smaller than the sum of its proper divisors (3296756).

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

2386240 is an equidigital number, since it uses as much as digits as its factorization.

2386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2386240 is about 1544.7459338027. The cubic root of 2386240 is about 133.6302273030.

Subtracting from 2386240 its product of nonzero digits (2304), we obtain a square (2383936 = 15442).

The spelling of 2386240 in words is "two million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7457 14914 29828 37285 59656 74570 119312 149140 238624 298280 477248 596560 1193120 2386240