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243320040 = 23325675889
BaseRepresentation
bin11101000000011…
…00010011101000
3121221211221100100
432200030103220
5444242220130
640051105400
76013120605
oct1640142350
9557757310
10243320040
11115390a47
12695a2260
133b544072
142445b6ac
1516564c60
hexe80c4e8

243320040 has 48 divisors (see below), whose sum is σ = 790791300. Its totient is φ = 64885248.

The previous prime is 243320027. The next prime is 243320113. The reversal of 243320040 is 40023342.

It can be written as a sum of positive squares in 2 ways, for example, as 234641124 + 8678916 = 15318^2 + 2946^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 243319995 and 243320022.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 337585 + ... + 338304.

Almost surely, 2243320040 is an apocalyptic number.

243320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243320040 is an abundant number, since it is smaller than the sum of its proper divisors (547471260).

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

243320040 is a wasteful number, since it uses less digits than its factorization.

243320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675906 (or 675899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243320040 is about 15598.7191781890. The cubic root of 243320040 is about 624.2989814775.

Adding to 243320040 its reverse (40023342), we get a palindrome (283343382).

The spelling of 243320040 in words is "two hundred forty-three million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 675889 1351778 2027667 2703556 3379445 4055334 5407112 6083001 6758890 8110668 10138335 12166002 13517780 16221336 20276670 24332004 27035560 30415005 40553340 48664008 60830010 81106680 121660020 243320040