Search a number
-
+
290352 = 24323263
BaseRepresentation
bin1000110111000110000
3112202021210
41012320300
533242402
610120120
72316336
oct1067060
9482253
10290352
11189167
12120040
13a220a
1477b56
155b06c
hex46e30

290352 has 40 divisors (see below), whose sum is σ = 785664. Its totient is φ = 92224.

The previous prime is 290351. The next prime is 290359. The reversal of 290352 is 253092.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290352.

It is not an unprimeable number, because it can be changed into a prime (290351) 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, 973 + ... + 1235.

2290352 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 290352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832).

290352 is an abundant number, since it is smaller than the sum of its proper divisors (495312).

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

290352 is a wasteful number, since it uses less digits than its factorization.

290352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 290352 is about 538.8432053947. The cubic root of 290352 is about 66.2178294026.

The spelling of 290352 in words is "two hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 263 276 368 526 552 789 1052 1104 1578 2104 3156 4208 6049 6312 12098 12624 18147 24196 36294 48392 72588 96784 145176 290352