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352125 = 3253313
BaseRepresentation
bin1010101111101111101
3122220000200
41111331331
542232000
611314113
72664414
oct1257575
9586020
10352125
11220614
1214b939
13c4377
149247b
156e500
hex55f7d

352125 has 24 divisors (see below), whose sum is σ = 636792. Its totient is φ = 187200.

The previous prime is 352123. The next prime is 352133. The reversal of 352125 is 521253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 251001 = 318^2 + 501^2 .

It is not a de Polignac number, because 352125 - 21 = 352123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 352098 and 352107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352125.

It is not an unprimeable number, because it can be changed into a prime (352123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (26533).

2352125 is an apocalyptic number.

It is an amenable number.

352125 is a deficient number, since it is larger than the sum of its proper divisors (284667).

352125 is a wasteful number, since it uses less digits than its factorization.

352125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 352125 is about 593.4012133456. The cubic root of 352125 is about 70.6153235496.

Adding to 352125 its reverse (521253), we get a palindrome (873378).

The spelling of 352125 in words is "three hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 313 375 939 1125 1565 2817 4695 7825 14085 23475 39125 70425 117375 352125