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352242 = 23311593
BaseRepresentation
bin1010101111111110010
3122220012000
41111333302
542232432
611314430
72664642
oct1257762
9586160
10352242
11220710
1214ba16
13c4437
1492522
156e57c
hex55ff2

352242 has 32 divisors (see below), whose sum is σ = 855360. Its totient is φ = 106560.

The previous prime is 352237. The next prime is 352249. The reversal of 352242 is 242253.

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

It is a d-powerful number, because it can be written as 36 + 56 + 213 + 216 + 42 + 218 .

It is not an unprimeable number, because it can be changed into a prime (352249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2352242 is an apocalyptic number.

It is a pronic number, being equal to 593×594.

It is a practical number, because each smaller number is the sum of distinct divisors of 352242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

352242 is an abundant number, since it is smaller than the sum of its proper divisors (503118).

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

352242 is a wasteful number, since it uses less digits than its factorization.

352242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 352242 is about 593.4997893850. The cubic root of 352242 is about 70.6231437630.

Adding to 352242 its reverse (242253), we get a palindrome (594495).

It can be divided in two parts, 352 and 242, that multiplied together give a cube (85184 = 443).

The spelling of 352242 in words is "three hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 593 594 1186 1779 3558 5337 6523 10674 13046 16011 19569 32022 39138 58707 117414 176121 352242