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342016 = 211167
BaseRepresentation
bin1010011100000000000
3122101011021
41103200000
541421031
611155224
72623063
oct1234000
9571137
10342016
11213a64
12145b14
13bc89c
148c8da
156b511
hex53800

342016 has 24 divisors (see below), whose sum is σ = 687960. Its totient is φ = 169984.

The previous prime is 341993. The next prime is 342037. The reversal of 342016 is 610243.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1965 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2342016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

342016 is an abundant number, since it is smaller than the sum of its proper divisors (345944).

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

342016 is an equidigital number, since it uses as much as digits as its factorization.

342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 342016 is about 584.8213402399. The cubic root of 342016 is about 69.9329971109.

Adding to 342016 its reverse (610243), we get a palindrome (952259).

The spelling of 342016 in words is "three hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 668 1024 1336 2048 2672 5344 10688 21376 42752 85504 171008 342016