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240540144 = 24313385481
BaseRepresentation
bin11100101011001…
…01100111110000
3121202121201001020
432111211213300
5443034241034
635511335440
75650362135
oct1625454760
9552551036
10240540144
11113862409
1268681580
133aaac960
1423d3658c
15161b6249
hexe5659f0

240540144 has 40 divisors (see below), whose sum is σ = 669196752. Its totient is φ = 74012160.

The previous prime is 240540143. The next prime is 240540161. The reversal of 240540144 is 441045042.

It is a happy number.

240540144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240540143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192117 + ... + 193364.

Almost surely, 2240540144 is an apocalyptic number.

240540144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240540144 is an abundant number, since it is smaller than the sum of its proper divisors (428656608).

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

240540144 is a wasteful number, since it uses less digits than its factorization.

240540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385505 (or 385499 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 240540144 is about 15509.3566597715. The cubic root of 240540144 is about 621.9123610425.

Adding to 240540144 its reverse (441045042), we get a palindrome (681585186).

The spelling of 240540144 in words is "two hundred forty million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 385481 770962 1156443 1541924 2312886 3083848 4625772 5011253 6167696 9251544 10022506 15033759 18503088 20045012 30067518 40090024 60135036 80180048 120270072 240540144