Search a number
-
+
290322 = 2321272
BaseRepresentation
bin1000110111000010010
3112202020200
41012320102
533242242
610120030
72316264
oct1067022
9482220
10290322
1118913a
12120016
13a21b6
1477b34
155b04c
hex46e12

290322 has 18 divisors (see below), whose sum is σ = 634023. Its totient is φ = 96012.

The previous prime is 290317. The next prime is 290327. The reversal of 290322 is 223092.

It is an interprime number because it is at equal distance from previous prime (290317) and next prime (290327).

It can be written as a sum of positive squares in only one way, i.e., 145161 + 145161 = 381^2 + 381^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=381.

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

It is a junction number, because it is equal to n+sod(n) for n = 290295 and 290304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290322.

It is not an unprimeable number, because it can be changed into a prime (290327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2223 + ... + 2349.

2290322 is an apocalyptic number.

290322 is an abundant number, since it is smaller than the sum of its proper divisors (343701).

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

290322 is a wasteful number, since it uses less digits than its factorization.

290322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290322 is about 538.8153672641. The cubic root of 290322 is about 66.2155487188.

Multiplying 290322 by its sum of digits (18), we get a square (5225796 = 22862).

290322 divided by its sum of digits (18) gives a square (16129 = 1272).

The spelling of 290322 in words is "two hundred ninety thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 16129 32258 48387 96774 145161 290322