Search a number
-
+
814296 = 233737131
BaseRepresentation
bin11000110110011011000
31112101000010
43012303120
5202024141
625241520
76631020
oct3066330
91471003
10814296
1150687a
123332a0
13226842
14172a80
15111416
hexc6cd8

814296 has 64 divisors (see below), whose sum is σ = 2407680. Its totient is φ = 224640.

The previous prime is 814279. The next prime is 814309. The reversal of 814296 is 692418.

814296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

814296 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 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 6281.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2814296 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 814296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203840).

814296 is an abundant number, since it is smaller than the sum of its proper divisors (1593384).

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

814296 is a wasteful number, since it uses less digits than its factorization.

814296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 814296 is about 902.3835104876. The cubic root of 814296 is about 93.3814830922.

The spelling of 814296 in words is "eight hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 131 148 168 222 259 262 296 393 444 518 524 777 786 888 917 1036 1048 1554 1572 1834 2072 2751 3108 3144 3668 4847 5502 6216 7336 9694 11004 14541 19388 22008 29082 33929 38776 58164 67858 101787 116328 135716 203574 271432 407148 814296