Search a number
-
+
804320 = 25511457
BaseRepresentation
bin11000100010111100000
31111212022122
43010113200
5201214240
625123412
76556646
oct3042740
91455278
10804320
114aa330
12329568
1322213a
1416d196
1510d4b5
hexc45e0

804320 has 48 divisors (see below), whose sum is σ = 2077488. Its totient is φ = 291840.

The previous prime is 804317. The next prime is 804329. The reversal of 804320 is 23408.

804320 = T9 + T10 + ... + T168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804329) 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, 1532 + ... + 1988.

It is an arithmetic number, because the mean of its divisors is an integer number (43281).

2804320 is an apocalyptic number.

804320 is a gapful number since it is divisible by the number (80) 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 804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038744).

804320 is an abundant number, since it is smaller than the sum of its proper divisors (1273168).

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

804320 is a wasteful number, since it uses less digits than its factorization.

804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 804320 is about 896.8388930014. The cubic root of 804320 is about 92.9985739944.

Adding to 804320 its reverse (23408), we get a palindrome (827728).

The spelling of 804320 in words is "eight hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 457 880 914 1760 1828 2285 3656 4570 5027 7312 9140 10054 14624 18280 20108 25135 36560 40216 50270 73120 80432 100540 160864 201080 402160 804320