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235314 = 23217769
BaseRepresentation
bin111001011100110010
3102221210100
4321130302
530012224
65013230
72000022
oct713462
9387710
10235314
11150882
12b4216
1383151
1461a82
1549ac9
hex39732

235314 has 24 divisors (see below), whose sum is σ = 540540. Its totient is φ = 73728.

The previous prime is 235309. The next prime is 235337. The reversal of 235314 is 413532.

235314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 2025 = 483^2 + 45^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 235314.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 690.

2235314 is an apocalyptic number.

235314 is an abundant number, since it is smaller than the sum of its proper divisors (305226).

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

235314 is a wasteful number, since it uses less digits than its factorization.

235314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 235314 is about 485.0917439001. The cubic root of 235314 is about 61.7375307424.

Adding to 235314 its reverse (413532), we get a palindrome (648846).

The spelling of 235314 in words is "two hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 769 1538 2307 4614 6921 13073 13842 26146 39219 78438 117657 235314