Search a number
-
+
4004434341 = 34197325057
BaseRepresentation
bin1110111010101110…
…1101000110100101
3101100002001100020000
43232223231012211
531200113344331
61501204531513
7201143062455
oct35653550645
911302040200
104004434341
111775442876
129390b0b99
134ba814b9b
1429db89d65
1518684e0e6
hexeeaed1a5

4004434341 has 20 divisors (see below), whose sum is σ = 5985203532. Its totient is φ = 2668163328.

The previous prime is 4004434339. The next prime is 4004434363. The reversal of 4004434341 is 1434344004.

It can be written as a sum of positive squares in 2 ways, for example, as 884765025 + 3119669316 = 29745^2 + 55854^2 .

It is not a de Polignac number, because 4004434341 - 21 = 4004434339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004434391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147285 + ... + 172341.

Almost surely, 24004434341 is an apocalyptic number.

It is an amenable number.

4004434341 is a deficient number, since it is larger than the sum of its proper divisors (1980769191).

4004434341 is a wasteful number, since it uses less digits than its factorization.

4004434341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27042 (or 27033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4004434341 is about 63280.6000366621. The cubic root of 4004434341 is about 1587.9874251373.

Adding to 4004434341 its reverse (1434344004), we get a palindrome (5438778345).

The spelling of 4004434341 in words is "four billion, four million, four hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 1973 5919 17757 25057 53271 75171 159813 225513 676539 2029617 49437461 148312383 444937149 1334811447 4004434341