Search a number
-
+
352842 = 23731271
BaseRepresentation
bin1010110001001001010
3122221000020
41112021022
542242332
611321310
72666460
oct1261112
9587006
10352842
11221106
12150236
13c47a9
1492830
156e82c
hex5624a

352842 has 32 divisors (see below), whose sum is σ = 835584. Its totient is φ = 97200.

The previous prime is 352841. The next prime is 352853. The reversal of 352842 is 248253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (26112).

2352842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417792).

352842 is an abundant number, since it is smaller than the sum of its proper divisors (482742).

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

352842 is a wasteful number, since it uses less digits than its factorization.

352842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314.

The product of its digits is 1920, while the sum is 24.

The square root of 352842 is about 594.0050504836. The cubic root of 352842 is about 70.6632202346.

It can be divided in two parts, 3528 and 42, that added together give a triangular number (3570 = T84).

The spelling of 352842 in words is "three hundred fifty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 271 434 542 651 813 1302 1626 1897 3794 5691 8401 11382 16802 25203 50406 58807 117614 176421 352842