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4443104320 = 26564121661
BaseRepresentation
bin1000010001101010…
…00110010001000000
3102110122111002022021
410020311012101000
533044413314240
62012515051224
7215050522624
oct41065062100
912418432267
104443104320
111980020046
12a3bba0b14
1355a675815
14302139184
151b010054a
hex108d46440

4443104320 has 56 divisors (see below), whose sum is σ = 10597137048. Its totient is φ = 1774387200.

The previous prime is 4443104311. The next prime is 4443104329. The reversal of 4443104320 is 234013444.

It is an interprime number because it is at equal distance from previous prime (4443104311) and next prime (4443104329).

It can be written as a sum of positive squares in 4 ways, for example, as 877581376 + 3565522944 = 29624^2 + 59712^2 .

It is not an unprimeable number, because it can be changed into a prime (4443104329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194290 + ... + 215950.

Almost surely, 24443104320 is an apocalyptic number.

4443104320 is a gapful number since it is divisible by the number (40) 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 4443104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298568524).

4443104320 is an abundant number, since it is smaller than the sum of its proper divisors (6154032728).

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

4443104320 is a wasteful number, since it uses less digits than its factorization.

4443104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22319 (or 22309 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4443104320 is about 66656.6149755596. The cubic root of 4443104320 is about 1643.9761147206.

Adding to 4443104320 its reverse (234013444), we get a palindrome (4677117764).

The spelling of 4443104320 in words is "four billion, four hundred forty-three million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 641 1282 2564 3205 5128 6410 10256 12820 20512 21661 25640 41024 43322 51280 86644 102560 108305 173288 205120 216610 346576 433220 693152 866440 1386304 1732880 3465760 6931520 13884701 27769402 55538804 69423505 111077608 138847010 222155216 277694020 444310432 555388040 888620864 1110776080 2221552160 4443104320