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2443412004 = 2231126968813
BaseRepresentation
bin1001000110100011…
…1000001000100100
320022021201012010220
42101220320020210
520001003141004
61042242444340
7114356442105
oct22150701044
96267635126
102443412004
111044273670
125823636b0
132cc2a8527
141927203ac
15e479ddd9
hex91a38224

2443412004 has 48 divisors (see below), whose sum is σ = 6242806080. Its totient is φ = 737664640.

The previous prime is 2443411973. The next prime is 2443412011. The reversal of 2443412004 is 4002143442.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102 + ... + 69914.

It is an arithmetic number, because the mean of its divisors is an integer number (130058460).

Almost surely, 22443412004 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 2443412004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121403040).

2443412004 is an abundant number, since it is smaller than the sum of its proper divisors (3799394076).

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

2443412004 is a wasteful number, since it uses less digits than its factorization.

2443412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69100 (or 69098 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2443412004 is about 49430.8810765092. The cubic root of 2443412004 is about 1346.8903283653.

Adding to 2443412004 its reverse (4002143442), we get a palindrome (6445555446).

The spelling of 2443412004 in words is "two billion, four hundred forty-three million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 5918 8877 11836 17754 35508 68813 137626 206439 275252 412878 756943 825756 1513886 2270829 3027772 4541658 9083316 18510697 37021394 55532091 74042788 111064182 203617667 222128364 407235334 610853001 814470668 1221706002 2443412004