Search a number
-
+
430442402340 = 223529247380691
BaseRepresentation
bin1100100001110000101…
…11011101001000100100
31112011001021022122021210
412100320113131020210
524023021223333330
6525424214311420
743045523023416
oct6207027351044
91464037278253
10430442402340
111566055728a5
126b50a358570
133178a56cb72
1416b9528c9b6
15b2e42ae8b0
hex64385dd224

430442402340 has 48 divisors (see below), whose sum is σ = 1246798687680. Its totient is φ = 110826549120.

The previous prime is 430442402329. The next prime is 430442402347. The reversal of 430442402340 is 43204244034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 430442402298 and 430442402307.

It is not an unprimeable number, because it can be changed into a prime (430442402347) 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, 123688606 + ... + 123692085.

It is an arithmetic number, because the mean of its divisors is an integer number (25974972660).

Almost surely, 2430442402340 is an apocalyptic number.

It is an amenable number.

430442402340 is an abundant number, since it is smaller than the sum of its proper divisors (816356285340).

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

430442402340 is a wasteful number, since it uses less digits than its factorization.

430442402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247380732 (or 247380730 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 430442402340 its reverse (43204244034), we get a palindrome (473646646374).

The spelling of 430442402340 in words is "four hundred thirty billion, four hundred forty-two million, four hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 247380691 494761382 742142073 989522764 1236903455 1484284146 2473806910 2968568292 3710710365 4947613820 7174040039 7421420730 14348080078 14842841460 21522120117 28696160156 35870200195 43044240234 71740400390 86088480468 107610600585 143480800780 215221201170 430442402340