Search a number
-
+
304590 = 235111371
BaseRepresentation
bin1001010010111001110
3120110211010
41022113032
534221330
610310050
72406006
oct1122716
9513733
10304590
11198930
12128326
13a8840
147d006
15603b0
hex4a5ce

304590 has 64 divisors (see below), whose sum is σ = 870912. Its totient is φ = 67200.

The previous prime is 304561. The next prime is 304597. The reversal of 304590 is 95403.

304590 is a nontrivial binomial coefficient, being equal to C(781, 2).

304590 is a Rhonda number in base 9.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304597) by changing a digit.

304590 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 31 ways as a sum of consecutive naturals, for example, 4255 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2304590 is an apocalyptic number.

304590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

304590 is the 780-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

304590 is an abundant number, since it is smaller than the sum of its proper divisors (566322).

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

304590 is a wasteful number, since it uses less digits than its factorization.

304590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

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

The square root of 304590 is about 551.8967294703. The cubic root of 304590 is about 67.2829792685.

Adding to 304590 its reverse (95403), we get a palindrome (399993).

The spelling of 304590 in words is "three hundred four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 71 78 110 130 142 143 165 195 213 286 330 355 390 426 429 710 715 781 858 923 1065 1430 1562 1846 2130 2145 2343 2769 3905 4290 4615 4686 5538 7810 9230 10153 11715 13845 20306 23430 27690 30459 50765 60918 101530 152295 304590