Search a number
-
+
342009 = 3353239
BaseRepresentation
bin1010011011111111001
3122101011000
41103133321
541421014
611155213
72623053
oct1233771
9571130
10342009
11213a58
12145b09
13bc895
148c8d3
156b509
hex537f9

342009 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 222768.

The previous prime is 341993. The next prime is 342037. The reversal of 342009 is 900243.

It is not a de Polignac number, because 342009 - 24 = 341993 is a prime.

It is a super-3 number, since 3×3420093 = 120014538333320187, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341982 and 342000.

It is not an unprimeable number, because it can be changed into a prime (342049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2342009 is an apocalyptic number.

It is an amenable number.

342009 is a deficient number, since it is larger than the sum of its proper divisors (176391).

342009 is a wasteful number, since it uses less digits than its factorization.

342009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 342009 is about 584.8153554756. The cubic root of 342009 is about 69.9325200042.

Adding to 342009 its product of nonzero digits (216), we get a square (342225 = 5852).

The spelling of 342009 in words is "three hundred forty-two thousand, nine".

Divisors: 1 3 9 27 53 159 239 477 717 1431 2151 6453 12667 38001 114003 342009