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342304 = 2519563
BaseRepresentation
bin1010011100100100000
3122101112221
41103210200
541423204
611200424
72623654
oct1234440
9571487
10342304
112141a6
12146114
13bca61
148ca64
156b654
hex53920

342304 has 24 divisors (see below), whose sum is σ = 710640. Its totient is φ = 161856.

The previous prime is 342299. The next prime is 342319. The reversal of 342304 is 403243.

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

It is an unprimeable number.

342304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 889.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2342304 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 342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355320).

342304 is an abundant number, since it is smaller than the sum of its proper divisors (368336).

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

342304 is a wasteful number, since it uses less digits than its factorization.

342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 342304 is about 585.0675174713. The cubic root of 342304 is about 69.9526210003.

Adding to 342304 its reverse (403243), we get a palindrome (745547).

It can be divided in two parts, 342 and 304, that added together give a palindrome (646).

The spelling of 342304 in words is "three hundred forty-two thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 304 563 608 1126 2252 4504 9008 10697 18016 21394 42788 85576 171152 342304