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342729 = 32113337
BaseRepresentation
bin1010011101011001001
3122102010200
41103223021
541431404
611202413
72625132
oct1235311
9572120
10342729
11214552
12146409
13bccca
148cc89
156b839
hex53ac9

342729 has 12 divisors (see below), whose sum is σ = 500916. Its totient is φ = 225792.

The previous prime is 342697. The next prime is 342733. The reversal of 342729 is 927243.

It can be written as a sum of positive squares in 2 ways, for example, as 38025 + 304704 = 195^2 + 552^2 .

It is not a de Polignac number, because 342729 - 25 = 342697 is a prime.

It is a d-powerful number, because it can be written as 37 + 4 + 76 + 215 + 217 + 95 .

It is a Curzon number.

342729 is a lucky number.

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 342729.

It is not an unprimeable number, because it can be changed into a prime (342799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (41743).

2342729 is an apocalyptic number.

It is an amenable number.

342729 is a deficient number, since it is larger than the sum of its proper divisors (158187).

342729 is a wasteful number, since it uses less digits than its factorization.

342729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 342729 is about 585.4306107473. The cubic root of 342729 is about 69.9815597685.

The spelling of 342729 in words is "three hundred forty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 113 337 339 1011 1017 3033 38081 114243 342729