Search a number
-
+
430241424 = 24385710459
BaseRepresentation
bin11001101001001…
…111011010010000
31002222120112021120
4121221033122100
51340120211144
6110405322240
713442664114
oct3151173220
91088515246
10430241424
11200950828
12100106380
136b19c432
14411d7744
1527b88e19
hex19a4f690

430241424 has 40 divisors (see below), whose sum is σ = 1112860320. Its totient is φ = 143232768.

The previous prime is 430241417. The next prime is 430241429. The reversal of 430241424 is 424142034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 430241394 and 430241403.

It is not an unprimeable number, because it can be changed into a prime (430241429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35907 + ... + 46365.

It is an arithmetic number, because the mean of its divisors is an integer number (27821508).

Almost surely, 2430241424 is an apocalyptic number.

It is an amenable number.

430241424 is an abundant number, since it is smaller than the sum of its proper divisors (682618896).

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

430241424 is a wasteful number, since it uses less digits than its factorization.

430241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 430241424 is about 20742.2617860252. The cubic root of 430241424 is about 754.9254631619.

Adding to 430241424 its reverse (424142034), we get a palindrome (854383458).

The spelling of 430241424 in words is "four hundred thirty million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 857 1714 2571 3428 5142 6856 10284 10459 13712 20568 20918 31377 41136 41836 62754 83672 125508 167344 251016 502032 8963363 17926726 26890089 35853452 53780178 71706904 107560356 143413808 215120712 430241424