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424440401 = 72114318313
BaseRepresentation
bin11001010011000…
…111001001010001
31002120122210202212
4121103013021101
51332124043101
6110041121505
713342453400
oct3123071121
91076583685
10424440401
111a86493a0
12ba189295
1369c1ab88
1440527637
15273e01bb
hex194c7251

424440401 has 24 divisors (see below), whose sum is σ = 551178144. Its totient is φ = 323023680.

The previous prime is 424440397. The next prime is 424440403. The reversal of 424440401 is 104044424.

It is not a de Polignac number, because 424440401 - 22 = 424440397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424440403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14021 + ... + 32333.

It is an arithmetic number, because the mean of its divisors is an integer number (22965756).

Almost surely, 2424440401 is an apocalyptic number.

It is an amenable number.

424440401 is a deficient number, since it is larger than the sum of its proper divisors (126737743).

424440401 is a wasteful number, since it uses less digits than its factorization.

424440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 424440401 is about 20601.9513881574. The cubic root of 424440401 is about 751.5171665013.

Adding to 424440401 its reverse (104044424), we get a palindrome (528484825).

The spelling of 424440401 in words is "four hundred twenty-four million, four hundred forty thousand, four hundred one".

Divisors: 1 7 11 43 49 77 301 473 539 2107 3311 18313 23177 128191 201443 787459 897337 1410101 5512213 8662049 9870707 38585491 60634343 424440401