Search a number
-
+
352104 = 23317863
BaseRepresentation
bin1010101111101101000
3122212222220
41111331220
542231404
611314040
72664354
oct1257550
9585886
10352104
112205a5
1214b920
13c435c
1492464
156e4d9
hex55f68

352104 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 110336.

The previous prime is 352097. The next prime is 352109. The reversal of 352104 is 401253.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352109) by changing a digit.

352104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2352104 is an apocalyptic number.

352104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

352104 is an abundant number, since it is smaller than the sum of its proper divisors (581016).

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

352104 is a wasteful number, since it uses less digits than its factorization.

352104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 352104 is about 593.3835184769. The cubic root of 352104 is about 70.6139197382.

Adding to 352104 its reverse (401253), we get a palindrome (753357).

The spelling of 352104 in words is "three hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 863 1726 2589 3452 5178 6904 10356 14671 20712 29342 44013 58684 88026 117368 176052 352104