Search a number
-
+
800316 = 2232114347
BaseRepresentation
bin11000011011000111100
31111122211100
43003120330
5201102231
625053100
76542166
oct3033074
91448740
10800316
114a7320
12327190
1322037a
1416b936
1510c1e6
hexc363c

800316 has 72 divisors (see below), whose sum is σ = 2306304. Its totient is φ = 231840.

The previous prime is 800311. The next prime is 800329. The reversal of 800316 is 613008.

800316 is nontrivially palindromic in base 16.

800316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800311) by changing a digit.

800316 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 23 ways as a sum of consecutive naturals, for example, 17005 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2800316 is an apocalyptic number.

800316 is a gapful number since it is divisible by the number (86) 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 800316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153152).

800316 is an abundant number, since it is smaller than the sum of its proper divisors (1505988).

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

800316 is a wasteful number, since it uses less digits than its factorization.

800316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 800316 is about 894.6038229295. The cubic root of 800316 is about 92.8439979139.

The spelling of 800316 in words is "eight hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 47 66 86 94 99 129 132 141 172 188 198 258 282 387 396 423 473 516 517 564 774 846 946 1034 1419 1548 1551 1692 1892 2021 2068 2838 3102 4042 4257 4653 5676 6063 6204 8084 8514 9306 12126 17028 18189 18612 22231 24252 36378 44462 66693 72756 88924 133386 200079 266772 400158 800316