Search a number
-
+
424040430 = 235111284971
BaseRepresentation
bin11001010001100…
…101011111101110
31002112220111010010
4121101211133232
51332023243210
6110024354050
713336166322
oct3121453756
91075814103
10424040430
111a83a5940
12ba015926
1369b0aac8
1440461982
1527361920
hex194657ee

424040430 has 32 divisors (see below), whose sum is σ = 1110215808. Its totient is φ = 102797600.

The previous prime is 424040399. The next prime is 424040431. The reversal of 424040430 is 34040424.

It is a super-3 number, since 3×4240404303 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 424040397 and 424040406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424040431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642156 + ... + 642815.

It is an arithmetic number, because the mean of its divisors is an integer number (34694244).

Almost surely, 2424040430 is an apocalyptic number.

424040430 is an abundant number, since it is smaller than the sum of its proper divisors (686175378).

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

424040430 is a wasteful number, since it uses less digits than its factorization.

424040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284992.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424040430 is about 20592.2419857576. The cubic root of 424040430 is about 751.2810284867.

Adding to 424040430 its reverse (34040424), we get a palindrome (458080854).

The spelling of 424040430 in words is "four hundred twenty-four million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1284971 2569942 3854913 6424855 7709826 12849710 14134681 19274565 28269362 38549130 42404043 70673405 84808086 141346810 212020215 424040430