Search a number
-
+
4430404100 = 225244304041
BaseRepresentation
bin1000010000001001…
…01001101000000100
3102102202120211212202
410020010221220010
533033140412400
62011342534032
7214534546013
oct41004515004
912382524782
104430404100
1119739361a1
12a37897318
13557b49bb5
14300590a7a
151ade424d5
hex108129a04

4430404100 has 18 divisors (see below), whose sum is σ = 9613977114. Its totient is φ = 1772161600.

The previous prime is 4430404067. The next prime is 4430404123. The reversal of 4430404100 is 14040344.

It can be written as a sum of positive squares in 3 ways, for example, as 8952064 + 4421452036 = 2992^2 + 66494^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22151921 + ... + 22152120.

Almost surely, 24430404100 is an apocalyptic number.

It is an amenable number.

4430404100 is an abundant number, since it is smaller than the sum of its proper divisors (5183573014).

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

4430404100 is a wasteful number, since it uses less digits than its factorization.

4430404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44304055 (or 44304048 counting only the distinct ones).

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

The square root of 4430404100 is about 66561.2807869560. The cubic root of 4430404100 is about 1642.4082332025.

Adding to 4430404100 its reverse (14040344), we get a palindrome (4444444444).

The spelling of 4430404100 in words is "four billion, four hundred thirty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 44304041 88608082 177216164 221520205 443040410 886080820 1107601025 2215202050 4430404100