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240452352 = 2832717877
BaseRepresentation
bin11100101010100…
…00001100000000
3121202110020121200
432111100030000
5443023433402
635505421200
75646545160
oct1625201400
9552406550
10240452352
11113802458
126863a800
133aa7b9ca
1423d125a0
151619a21c
hexe550300

240452352 has 216 divisors, whose sum is σ = 839887776. Its totient is φ = 64585728.

The previous prime is 240452351. The next prime is 240452357. The reversal of 240452352 is 253254042.

It is a happy number.

240452352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (240452351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273738 + ... + 274614.

Almost surely, 2240452352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419943888).

240452352 is an abundant number, since it is smaller than the sum of its proper divisors (599435424).

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

240452352 is a wasteful number, since it uses less digits than its factorization.

240452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 240452352 is about 15506.5261099964. The cubic root of 240452352 is about 621.8366902724.

It can be divided in two parts, 2404 and 52352, that added together give a square (54756 = 2342).

The spelling of 240452352 in words is "two hundred forty million, four hundred fifty-two thousand, three hundred fifty-two".