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368244 = 223253193
BaseRepresentation
bin1011001111001110100
3200201010200
41121321310
543240434
611520500
73062412
oct1317164
9621120
10368244
11231738
12159130
13cb7c6
14982b2
1574199
hex59e74

368244 has 36 divisors (see below), whose sum is σ = 953316. Its totient is φ = 119808.

The previous prime is 368243. The next prime is 368273. The reversal of 368244 is 442863.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 191844 = 420^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (4608) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1812 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2368244 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 368244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476658).

368244 is an abundant number, since it is smaller than the sum of its proper divisors (585072).

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

368244 is a wasteful number, since it uses less digits than its factorization.

368244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

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

The square root of 368244 is about 606.8311132432. The cubic root of 368244 is about 71.6767920313.

The spelling of 368244 in words is "three hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 193 212 318 386 477 579 636 772 954 1158 1737 1908 2316 3474 6948 10229 20458 30687 40916 61374 92061 122748 184122 368244