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240303312 = 24321668773
BaseRepresentation
bin11100101001010…
…11110011010000
3121202011200011200
432110223303100
5443004201222
635502311200
75645354514
oct1624536320
9552150150
10240303312
11113710487
1268588500
133aa28c12
1423cb4144
151616aeac
hexe52bcd0

240303312 has 30 divisors (see below), whose sum is σ = 672515922. Its totient is φ = 80101056.

The previous prime is 240303299. The next prime is 240303319. The reversal of 240303312 is 213303042.

240303312 is digitally balanced in base 2, 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 only one way, i.e., 170145936 + 70157376 = 13044^2 + 8376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240303319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 834243 + ... + 834530.

Almost surely, 2240303312 is an apocalyptic number.

It is an amenable number.

240303312 is an abundant number, since it is smaller than the sum of its proper divisors (432212610).

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

240303312 is a wasteful number, since it uses less digits than its factorization.

240303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668787 (or 1668778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 240303312 is about 15501.7196465424. The cubic root of 240303312 is about 621.7081856788.

Adding to 240303312 its reverse (213303042), we get a palindrome (453606354).

The spelling of 240303312 in words is "two hundred forty million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1668773 3337546 5006319 6675092 10012638 13350184 15018957 20025276 26700368 30037914 40050552 60075828 80101104 120151656 240303312