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342953 = 13233137
BaseRepresentation
bin1010011101110101001
3122102102222
41103232221
541433303
611203425
72625602
oct1235651
9572388
10342953
11214736
12146575
13c0140
148cda9
156b938
hex53ba9

342953 has 16 divisors (see below), whose sum is σ = 408576. Its totient is φ = 285120.

The previous prime is 342949. The next prime is 342971. The reversal of 342953 is 359243.

It is a cyclic number.

It is not a de Polignac number, because 342953 - 22 = 342949 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342953.

It is not an unprimeable number, because it can be changed into a prime (342553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9251 + ... + 9287.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2342953 is an apocalyptic number.

It is an amenable number.

342953 is a deficient number, since it is larger than the sum of its proper divisors (65623).

342953 is a wasteful number, since it uses less digits than its factorization.

342953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 3240, while the sum is 26.

The square root of 342953 is about 585.6218916673. The cubic root of 342953 is about 69.9968025750.

Subtracting 342953 from its reverse (359243), we obtain a triangular number (16290 = T180).

The spelling of 342953 in words is "three hundred forty-two thousand, nine hundred fifty-three".

Divisors: 1 13 23 31 37 299 403 481 713 851 1147 9269 11063 14911 26381 342953