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4424303440 = 245411348873
BaseRepresentation
bin1000001111011010…
…11000001101010000
3102102100002220100101
410013231120031100
533030110202230
62011004102144
7214431646564
oct40755301520
912370086311
104424303440
111970449727
12a35834954
135567c213b
142dd8436a4
151ad639aca
hex107b58350

4424303440 has 40 divisors (see below), whose sum is σ = 10537403688. Its totient is φ = 1726556160.

The previous prime is 4424303417. The next prime is 4424303461. The reversal of 4424303440 is 443034244.

It can be written as a sum of positive squares in 4 ways, for example, as 186814224 + 4237489216 = 13668^2 + 65096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4424303399 and 4424303408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671157 + ... + 677716.

Almost surely, 24424303440 is an apocalyptic number.

4424303440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424303440 is an abundant number, since it is smaller than the sum of its proper divisors (6113100248).

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

4424303440 is a wasteful number, since it uses less digits than its factorization.

4424303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348927 (or 1348921 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4424303440 is about 66515.4376066188. The cubic root of 4424303440 is about 1641.6540223315.

Adding to 4424303440 its reverse (443034244), we get a palindrome (4867337684).

The spelling of 4424303440 in words is "four billion, four hundred twenty-four million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 1348873 2697746 5395492 6744365 10790984 13488730 21581968 26977460 53954920 55303793 107909840 110607586 221215172 276518965 442430344 553037930 884860688 1106075860 2212151720 4424303440