Search a number
-
+
424374417 = 33176471429
BaseRepresentation
bin11001010010110…
…111000010010001
31002120112110021000
4121102313002101
51332114440132
6110035452213
713342060125
oct3122670221
91076473230
10424374417
111a8603865
12ba157069
1369bc6b2c
144050b585
15273ca87c
hex194b7091

424374417 has 32 divisors (see below), whose sum is σ = 667180800. Its totient is φ = 265676544.

The previous prime is 424374413. The next prime is 424374463. The reversal of 424374417 is 714473424.

It is a happy number.

It is not a de Polignac number, because 424374417 - 22 = 424374413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424374413) 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 31 ways as a sum of consecutive naturals, for example, 296259 + ... + 297687.

It is an arithmetic number, because the mean of its divisors is an integer number (20849400).

Almost surely, 2424374417 is an apocalyptic number.

It is an amenable number.

424374417 is a deficient number, since it is larger than the sum of its proper divisors (242806383).

424374417 is a wasteful number, since it uses less digits than its factorization.

424374417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 424374417 is about 20600.3499242125. The cubic root of 424374417 is about 751.4782205711.

The spelling of 424374417 in words is "four hundred twenty-four million, three hundred seventy-four thousand, four hundred seventeen".

Divisors: 1 3 9 17 27 51 153 459 647 1429 1941 4287 5823 10999 12861 17469 24293 32997 38583 72879 98991 218637 296973 655911 924563 2773689 8321067 15717571 24963201 47152713 141458139 424374417