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4400104340 = 225220005217
BaseRepresentation
bin1000001100100010…
…00100001110010100
3102100122120110102102
410012101010032110
533002411314330
62004341301232
7214016161352
oct40621041624
912318513372
104400104340
111958820575
12a29704818
1355179b648
142da5447d2
151ab459945
hex106444394

4400104340 has 12 divisors (see below), whose sum is σ = 9240219156. Its totient is φ = 1760041728.

The previous prime is 4400104307. The next prime is 4400104349. The reversal of 4400104340 is 434010044.

It can be written as a sum of positive squares in 2 ways, for example, as 3468267664 + 931836676 = 58892^2 + 30526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 220005217 = 4400104340 / (4 + 4 + 0 + 0 + 1 + 0 + 4 + 3 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400104349) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 110002589 + ... + 110002628.

It is an arithmetic number, because the mean of its divisors is an integer number (770018263).

Almost surely, 24400104340 is an apocalyptic number.

It is an amenable number.

4400104340 is an abundant number, since it is smaller than the sum of its proper divisors (4840114816).

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

4400104340 is a wasteful number, since it uses less digits than its factorization.

4400104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220005226 (or 220005224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4400104340 is about 66333.2822947877. The cubic root of 4400104340 is about 1638.6554938234.

Adding to 4400104340 its reverse (434010044), we get a palindrome (4834114384).

The spelling of 4400104340 in words is "four billion, four hundred million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 220005217 440010434 880020868 1100026085 2200052170 4400104340