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342801 = 3241929
BaseRepresentation
bin1010011101100010001
3122102020100
41103230101
541432201
611203013
72625264
oct1235421
9572210
10342801
11214608
12146469
13c0054
148ccdb
156b886
hex53b11

342801 has 12 divisors (see below), whose sum is σ = 507780. Its totient is φ = 222720.

The previous prime is 342799. The next prime is 342803. The reversal of 342801 is 108243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342799) and next prime (342803).

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 331776 = 105^2 + 576^2 .

It is not a de Polignac number, because 342801 - 21 = 342799 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342801.

It is not an unprimeable number, because it can be changed into a prime (342803) 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, 96 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2342801 is an apocalyptic number.

It is an amenable number.

342801 is a deficient number, since it is larger than the sum of its proper divisors (164979).

342801 is a wasteful number, since it uses less digits than its factorization.

342801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 342801 is about 585.4921007153. The cubic root of 342801 is about 69.9864599662.

The spelling of 342801 in words is "three hundred forty-two thousand, eight hundred one".

Divisors: 1 3 9 41 123 369 929 2787 8361 38089 114267 342801