Search a number
-
+
243045040 = 2457434009
BaseRepresentation
bin11100111110010…
…01001010110000
3121221022222010011
432133021022300
5444204420130
640041144304
76010564060
oct1637111260
9557288104
10243045040
11115213377
126948b094
133b478b44
14243c93a0
151650d52a
hexe7c92b0

243045040 has 40 divisors (see below), whose sum is σ = 645806880. Its totient is φ = 83329536.

The previous prime is 243045029. The next prime is 243045059. The reversal of 243045040 is 40540342.

243045040 = T14 + T15 + ... + T1133.

It is a happy number.

243045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216445 + ... + 217564.

It is an arithmetic number, because the mean of its divisors is an integer number (16145172).

Almost surely, 2243045040 is an apocalyptic number.

243045040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243045040 is an abundant number, since it is smaller than the sum of its proper divisors (402761840).

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

243045040 is a wasteful number, since it uses less digits than its factorization.

243045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434029 (or 434023 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 243045040 is about 15589.9018598579. The cubic root of 243045040 is about 624.0636988447.

Adding to 243045040 its reverse (40540342), we get a palindrome (283585382).

The spelling of 243045040 in words is "two hundred forty-three million, forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 434009 868018 1736036 2170045 3038063 3472072 4340090 6076126 6944144 8680180 12152252 15190315 17360360 24304504 30380630 34720720 48609008 60761260 121522520 243045040