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342225 = 3452132
BaseRepresentation
bin1010011100011010001
3122101110000
41103203101
541422400
611200213
72623512
oct1234321
9571400
10342225
11214134
12146069
13bca00
148ca09
156b600
hex538d1

342225 has 45 divisors (see below), whose sum is σ = 686433. Its totient is φ = 168480.

The previous prime is 342211. The next prime is 342233. The reversal of 342225 is 522243.

Adding to 342225 its sum of digits (18), we get a palindrome (342243).

Adding to 342225 its reverse (522243), we get a palindrome (864468).

The square root of 342225 is 585.

It is a perfect power (a square), and thus also a powerful number.

342225 is nontrivially palindromic in base 8.

342225 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 254016 = 297^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 342225 - 215 = 309457 is a prime.

342225 is a Rhonda number in base 10.

Its product of digits (480) is a multiple of the sum of its prime factors (48).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 342198 and 342207.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26319 + ... + 26331.

342225 is a Friedman number, since it can be written as ((234*5)/2)^2, using all its digits and the basic arithmetic operations.

2342225 is an apocalyptic number.

342225 is the 585-th square number.

342225 is the 293-rd centered octagonal number.

It is an amenable number.

342225 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

342225 is a wasteful number, since it uses less digits than its factorization.

342225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

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

The cubic root of 342225 is about 69.9472391543.

The spelling of 342225 in words is "three hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 845 975 1053 1521 1755 2025 2535 2925 4225 4563 5265 7605 8775 12675 13689 22815 26325 38025 68445 114075 342225