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468396 = 22334337
BaseRepresentation
bin1110010010110101100
3212210112000
41302112230
5104442041
614012300
73660405
oct1622654
9783460
10468396
1129aa05
121a7090
13135276
14c29ac
1593bb6
hex725ac

468396 has 24 divisors (see below), whose sum is σ = 1214640. Its totient is φ = 156096.

The previous prime is 468389. The next prime is 468421. The reversal of 468396 is 693864.

468396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 468396.

It is an unprimeable number.

468396 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 7 ways as a sum of consecutive naturals, for example, 2061 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (50610).

2468396 is an apocalyptic number.

It is an amenable number.

468396 is an abundant number, since it is smaller than the sum of its proper divisors (746244).

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

468396 is a wasteful number, since it uses less digits than its factorization.

468396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4342 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 468396 is about 684.3946230063. The cubic root of 468396 is about 77.6612528743.

Adding to 468396 its product of digits (31104), we get a triangular number (499500 = T999).

The spelling of 468396 in words is "four hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4337 8674 13011 17348 26022 39033 52044 78066 117099 156132 234198 468396