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4040003344 = 241389229953
BaseRepresentation
bin1111000011001101…
…1000111100010000
3101102112222102201111
43300303120330100
531233220101334
61504515143104
7202054314256
oct36063307420
911375872644
104040003344
111793527343
12948ba4a94
134c4cb9930
142a47a85d6
15189a28064
hexf0cd8f10

4040003344 has 80 divisors (see below), whose sum is σ = 8570545200. Its totient is φ = 1833689088.

The previous prime is 4040003327. The next prime is 4040003353. The reversal of 4040003344 is 4433000404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82083600 + 3957919744 = 9060^2 + 62912^2 .

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, 4238772 + ... + 4239724.

It is an arithmetic number, because the mean of its divisors is an integer number (107131815).

Almost surely, 24040003344 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 4040003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285272600).

4040003344 is an abundant number, since it is smaller than the sum of its proper divisors (4530541856).

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

4040003344 is a wasteful number, since it uses less digits than its factorization.

4040003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4040003344 is about 63561.0206337186. The cubic root of 4040003344 is about 1592.6752877888.

Adding to 4040003344 its reverse (4433000404), we get a palindrome (8473003748).

The spelling of 4040003344 in words is "four billion, forty million, three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 229 356 458 712 916 953 1157 1424 1832 1906 2314 2977 3664 3812 4628 5954 7624 9256 11908 12389 15248 18512 20381 23816 24778 40762 47632 49556 81524 84817 99112 163048 169634 198224 218237 264953 326096 339268 436474 529906 678536 872948 1059812 1102621 1357072 1745896 2119624 2205242 2837081 3491792 4239248 4410484 5674162 8820968 11348324 17641936 19423093 22696648 38846186 45393296 77692372 155384744 252500209 310769488 505000418 1010000836 2020001672 4040003344