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2004412332 = 2231327912511
BaseRepresentation
bin111011101111000…
…1110011110101100
312011200122200210210
41313132032132230
513101112143312
6530521302420
7100446136506
oct16736163654
95150580723
102004412332
1193949071a
1247b334a10
1325c360800
141502c6d76
15bae84e3c
hex7778e7ac

2004412332 has 72 divisors (see below), whose sum is σ = 5128919040. Its totient is φ = 608886720.

The previous prime is 2004412331. The next prime is 2004412357. The reversal of 2004412332 is 2332144002.

It is a junction number, because it is equal to n+sod(n) for n = 2004412299 and 2004412308.

It is not an unprimeable number, because it can be changed into a prime (2004412331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153957 + ... + 166467.

Almost surely, 22004412332 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 2004412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564459520).

2004412332 is an abundant number, since it is smaller than the sum of its proper divisors (3124506708).

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

2004412332 is a wasteful number, since it uses less digits than its factorization.

2004412332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2004412332 is about 44770.6637431254. The cubic root of 2004412332 is about 1260.8469010289.

Adding to 2004412332 its reverse (2332144002), we get a palindrome (4336556334).

The spelling of 2004412332 in words is "two billion, four million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 169 237 316 338 474 507 676 948 1014 1027 2028 2054 3081 4108 6162 12324 12511 13351 25022 26702 37533 40053 50044 53404 75066 80106 150132 160212 162643 325286 487929 650572 975858 988369 1951716 1976738 2114359 2965107 3953476 4228718 5930214 6343077 8457436 11860428 12686154 12848797 25372308 25697594 38546391 51395188 77092782 154185564 167034361 334068722 501103083 668137444 1002206166 2004412332