Search a number
-
+
298320 = 243511113
BaseRepresentation
bin1001000110101010000
3120011012220
41020311100
534021240
610221040
72351511
oct1106520
9504186
10298320
11194150
12124780
13a5a29
147aa08
155d5d0
hex48d50

298320 has 80 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 71680.

The previous prime is 298307. The next prime is 298327. The reversal of 298320 is 23892.

It can be divided in two parts, 2983 and 20, that added together give a palindrome (3003).

298320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

298320 is a repfigit number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298327) by changing a digit.

298320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584 + ... + 2696.

2298320 is an apocalyptic number.

298320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

298320 is an abundant number, since it is smaller than the sum of its proper divisors (719472).

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

298320 is a wasteful number, since it uses less digits than its factorization.

298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 298320 is about 546.1867812388. The cubic root of 298320 is about 66.8181002023.

The spelling of 298320 in words is "two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 113 120 132 165 176 220 226 240 264 330 339 440 452 528 565 660 678 880 904 1130 1243 1320 1356 1695 1808 2260 2486 2640 2712 3390 3729 4520 4972 5424 6215 6780 7458 9040 9944 12430 13560 14916 18645 19888 24860 27120 29832 37290 49720 59664 74580 99440 149160 298320