Search a number
-
+
352160 = 2553171
BaseRepresentation
bin1010101111110100000
3122220001222
41111332200
542232120
611314212
72664464
oct1257640
9586058
10352160
11220646
1214b968
13c43a3
14924a4
156e525
hex55fa0

352160 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 134400.

The previous prime is 352133. The next prime is 352181. The reversal of 352160 is 61253.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

352160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4925 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2352160 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 352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

352160 is an abundant number, since it is smaller than the sum of its proper divisors (518752).

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

352160 is a wasteful number, since it uses less digits than its factorization.

352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 352160 is about 593.4307036209. The cubic root of 352160 is about 70.6176631113.

It can be divided in two parts, 352 and 160, that added together give a 9-th power (512 = 29).

The spelling of 352160 in words is "three hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 71 80 124 142 155 160 248 284 310 355 496 568 620 710 992 1136 1240 1420 2201 2272 2480 2840 4402 4960 5680 8804 11005 11360 17608 22010 35216 44020 70432 88040 176080 352160