Search a number
-
+
304424014401 = 32132414881641
BaseRepresentation
bin1000110111000010001…
…01011101001001000001
31002002202211111020121100
410123201011131021001
514441430021430101
6351503411045013
730664624266453
oct4334105351101
91062684436540
10304424014401
11108118468851
124abbaba0769
132292654c300
1410a3c90c2d3
157dbac8ce86
hex46e115d241

304424014401 has 36 divisors (see below), whose sum is σ = 487763905356. Its totient is φ = 182768601600.

The previous prime is 304424014381. The next prime is 304424014417. The reversal of 304424014401 is 104410424403.

304424014401 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 240 + 14 + 401 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35825404176 + 268598610225 = 189276^2 + 518265^2 .

It is not a de Polignac number, because 304424014401 - 25 = 304424014369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (304424014441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2378460 + ... + 2503181.

It is an arithmetic number, because the mean of its divisors is an integer number (13548997371).

Almost surely, 2304424014401 is an apocalyptic number.

It is an amenable number.

304424014401 is a deficient number, since it is larger than the sum of its proper divisors (183339890955).

304424014401 is a wasteful number, since it uses less digits than its factorization.

304424014401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881714 (or 4881698 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 304424014401 its reverse (104410424403), we get a palindrome (408834438804).

The spelling of 304424014401 in words is "three hundred four billion, four hundred twenty-four million, fourteen thousand, four hundred one".

Divisors: 1 3 9 13 39 41 117 123 169 369 507 533 1521 1599 4797 6929 20787 62361 4881641 14644923 43934769 63461333 190383999 200147281 571151997 600441843 824997329 1801325529 2474991987 2601914653 7424975961 7805743959 23417231877 33824890489 101474671467 304424014401