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342756 = 22329521
BaseRepresentation
bin1010011101011100100
3122102011200
41103223210
541432011
611202500
72625201
oct1235344
9572150
10342756
11214577
12146430
13c001b
148cca8
156b856
hex53ae4

342756 has 18 divisors (see below), whose sum is σ = 866502. Its totient is φ = 114240.

The previous prime is 342733. The next prime is 342757. The reversal of 342756 is 657243.

It is a happy number.

342756 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 only one way, i.e., 285156 + 57600 = 534^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342757) by changing a digit.

342756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4725 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (48139).

2342756 is an apocalyptic number.

342756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342756 is an abundant number, since it is smaller than the sum of its proper divisors (523746).

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

342756 is a wasteful number, since it uses less digits than its factorization.

342756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531 (or 9526 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 342756 is about 585.4536702421. The cubic root of 342756 is about 69.9833974231.

Adding to 342756 its reverse (657243), we get a palindrome (999999).

The spelling of 342756 in words is "three hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 9521 19042 28563 38084 57126 85689 114252 171378 342756