Search a number
-
+
204003332304 = 24347271333679
BaseRepresentation
bin1011110111111110001…
…0111101000011010000
3201111120100021001000020
42331333202331003100
511320244323113204
6233415015223440
720511251466522
oct2757742750320
9644510231006
10204003332304
1179576620aa2
1233654377b80
1316311839565
149c33a61a12
15548eb56bd9
hex2f7f8bd0d0

204003332304 has 80 divisors (see below), whose sum is σ = 540209233920. Its totient is φ = 66308492160.

The previous prime is 204003332287. The next prime is 204003332311. The reversal of 204003332304 is 403233300402.

It is a super-2 number, since 2×2040033323042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444537 + ... + 778215.

It is an arithmetic number, because the mean of its divisors is an integer number (6752615424).

Almost surely, 2204003332304 is an apocalyptic number.

204003332304 is a gapful number since it is divisible by the number (24) 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 204003332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270104616960).

204003332304 is an abundant number, since it is smaller than the sum of its proper divisors (336205901616).

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

204003332304 is a wasteful number, since it uses less digits than its factorization.

204003332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334008 (or 334002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 204003332304 its reverse (403233300402), we get a palindrome (607236632706).

The spelling of 204003332304 in words is "two hundred four billion, three million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 271 282 376 542 564 752 813 1084 1128 1626 2168 2256 3252 4336 6504 12737 13008 25474 38211 50948 76422 101896 152844 203792 305688 333679 611376 667358 1001037 1334716 2002074 2669432 4004148 5338864 8008296 15682913 16016592 31365826 47048739 62731652 90427009 94097478 125463304 180854018 188194956 250926608 271281027 361708036 376389912 542562054 723416072 752779824 1085124108 1446832144 2170248216 4250069423 4340496432 8500138846 12750208269 17000277692 25500416538 34000555384 51000833076 68001110768 102001666152 204003332304