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468342 = 2347259
BaseRepresentation
bin1110010010101110110
3212210110000
41302111312
5104441332
614012130
73660300
oct1622566
9783400
10468342
1129a966
121a7046
13135234
14c2970
1593b7c
hex72576

468342 has 60 divisors (see below), whose sum is σ = 1241460. Its totient is φ = 131544.

The previous prime is 468323. The next prime is 468353. The reversal of 468342 is 243864.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

468342 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 (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7909 + ... + 7967.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2468342 is an apocalyptic number.

468342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 468342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620730).

468342 is an abundant number, since it is smaller than the sum of its proper divisors (773118).

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

468342 is a wasteful number, since it uses less digits than its factorization.

468342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 468342 is about 684.3551709456. The cubic root of 468342 is about 77.6582683136.

The spelling of 468342 in words is "four hundred sixty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 81 98 118 126 147 162 177 189 294 354 378 413 441 531 567 826 882 1062 1134 1239 1323 1593 2478 2646 2891 3186 3717 3969 4779 5782 7434 7938 8673 9558 11151 17346 22302 26019 33453 52038 66906 78057 156114 234171 468342