Search a number
-
+
352404 = 223313251
BaseRepresentation
bin1010110000010010100
3122220102000
41112002110
542234104
611315300
72665263
oct1260224
9586360
10352404
11220848
1214bb30
13c4530
14925da
156e639
hex56094

352404 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 108000.

The previous prime is 352403. The next prime is 352409. The reversal of 352404 is 404253.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2352404 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 352404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

352404 is an abundant number, since it is smaller than the sum of its proper divisors (635436).

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

352404 is a wasteful number, since it uses less digits than its factorization.

352404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

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

The square root of 352404 is about 593.6362522623. The cubic root of 352404 is about 70.6339688926.

Adding to 352404 its reverse (404253), we get a palindrome (756657).

The spelling of 352404 in words is "three hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 251 351 468 502 702 753 1004 1404 1506 2259 3012 3263 4518 6526 6777 9036 9789 13052 13554 19578 27108 29367 39156 58734 88101 117468 176202 352404