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240352 = 2572937
BaseRepresentation
bin111010101011100000
3110012200221
4322223200
530142402
65052424
72020510
oct725340
9405627
10240352
11154642
12b7114
1385528
1463840
154b337
hex3aae0

240352 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 96768.

The previous prime is 240349. The next prime is 240353. The reversal of 240352 is 253042.

240352 is digitally balanced in base 2 and base 3, because in such bases 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240353) 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, 6478 + ... + 6514.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2240352 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 240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

240352 is an abundant number, since it is smaller than the sum of its proper divisors (334208).

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

240352 is a wasteful number, since it uses less digits than its factorization.

240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 240352 is about 490.2570754206. The cubic root of 240352 is about 62.1750171068.

Adding to 240352 its reverse (253042), we get a palindrome (493394).

The spelling of 240352 in words is "two hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 74 112 116 148 203 224 232 259 296 406 464 518 592 812 928 1036 1073 1184 1624 2072 2146 3248 4144 4292 6496 7511 8288 8584 15022 17168 30044 34336 60088 120176 240352