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2004324036 = 22311137116451
BaseRepresentation
bin111011101110111…
…1000111011000100
312011200111012200120
41313131320323010
513101101332121
6530515341540
7100445321211
oct16735707304
95150435616
102004324036
11939430350
1247b2b18b0
1325c32c570
141502a2b08
15bae68bc6
hex77778ec4

2004324036 has 96 divisors (see below), whose sum is σ = 5572094976. Its totient is φ = 552720000.

The previous prime is 2004324001. The next prime is 2004324037. The reversal of 2004324036 is 6304234002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2004323997 and 2004324015.

It is not an unprimeable number, because it can be changed into a prime (2004324037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113611 + ... + 130061.

It is an arithmetic number, because the mean of its divisors is an integer number (58042656).

Almost surely, 22004324036 is an apocalyptic number.

2004324036 is a gapful number since it is divisible by the number (26) 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 2004324036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786047488).

2004324036 is an abundant number, since it is smaller than the sum of its proper divisors (3567770940).

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

2004324036 is a wasteful number, since it uses less digits than its factorization.

2004324036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16553 (or 16551 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2004324036 is about 44769.6776401171. The cubic root of 2004324036 is about 1260.8283869785.

Adding to 2004324036 its reverse (6304234002), we get a palindrome (8308558038).

The spelling of 2004324036 in words is "two billion, four million, three hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 71 78 132 142 143 156 213 284 286 426 429 572 781 852 858 923 1562 1716 1846 2343 2769 3124 3692 4686 5538 9372 10153 11076 16451 20306 30459 32902 40612 49353 60918 65804 98706 121836 180961 197412 213863 361922 427726 542883 641589 723844 855452 1085766 1168021 1283178 2171532 2336042 2352493 2566356 3504063 4672084 4704986 7008126 7057479 9409972 12848231 14016252 14114958 15184273 25696462 28229916 30368546 38544693 45552819 51392924 60737092 77089386 91105638 154178772 167027003 182211276 334054006 501081009 668108012 1002162018 2004324036