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442364 = 221347181
BaseRepresentation
bin1101011111111111100
3211110210212
41223333330
5103123424
613251552
73521456
oct1537774
9743725
10442364
1128239a
12193bb8
13126470
14b72d6
158b10e
hex6bffc

442364 has 24 divisors (see below), whose sum is σ = 856128. Its totient is φ = 198720.

The previous prime is 442363. The next prime is 442367. The reversal of 442364 is 463244.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442364.

It is not an unprimeable number, because it can be changed into a prime (442363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2354 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

442364 is a Friedman number, since it can be written as 4*(6*4*2)^3-4, using all its digits and the basic arithmetic operations.

2442364 is an apocalyptic number.

It is an amenable number.

442364 is a deficient number, since it is larger than the sum of its proper divisors (413764).

442364 is a wasteful number, since it uses less digits than its factorization.

442364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 442364 is about 665.1045030670. The cubic root of 442364 is about 76.1950208351.

The spelling of 442364 in words is "four hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 13 26 47 52 94 181 188 362 611 724 1222 2353 2444 4706 8507 9412 17014 34028 110591 221182 442364