Search a number
-
+
804204 = 223289251
BaseRepresentation
bin11000100010101101100
31111212011100
43010111230
5201213304
625123100
76556422
oct3042554
91455140
10804204
114aa235
12329490
1322207b
1416d112
1510d439
hexc456c

804204 has 36 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 264000.

The previous prime is 804203. The next prime is 804211. The reversal of 804204 is 402408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (804203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3079 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2804204 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 804204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

804204 is an abundant number, since it is smaller than the sum of its proper divisors (1259676).

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

804204 is a wasteful number, since it uses less digits than its factorization.

804204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 804204 is about 896.7742190764. The cubic root of 804204 is about 92.9941029906.

The spelling of 804204 in words is "eight hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 251 267 356 502 534 753 801 1004 1068 1506 1602 2259 3012 3204 4518 9036 22339 44678 67017 89356 134034 201051 268068 402102 804204