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306342 = 2343161
BaseRepresentation
bin1001010110010100110
3120120020000
41022302212
534300332
610322130
72414061
oct1126246
9516200
10306342
1119a183
12129346
13a958a
147d8d8
1560b7c
hex4aca6

306342 has 40 divisors (see below), whose sum is σ = 720192. Its totient is φ = 97200.

The previous prime is 306331. The next prime is 306347. The reversal of 306342 is 243603.

306342 is a `hidden beast` number, since 30 + 634 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306347) by changing a digit.

306342 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 19 ways as a sum of consecutive naturals, for example, 4992 + ... + 5052.

2306342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360096).

306342 is an abundant number, since it is smaller than the sum of its proper divisors (413850).

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

306342 is a wasteful number, since it uses less digits than its factorization.

306342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 306342 is about 553.4817070148. The cubic root of 306342 is about 67.4117364881.

Adding to 306342 its reverse (243603), we get a palindrome (549945).

The spelling of 306342 in words is "three hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 81 93 122 162 183 186 279 366 549 558 837 1098 1647 1674 1891 2511 3294 3782 4941 5022 5673 9882 11346 17019 34038 51057 102114 153171 306342