Search a number
-
+
430045430 = 251719211631
BaseRepresentation
bin11001101000011…
…111100011110110
31002222012120102112
4121220133203312
51340042423210
6110401211022
713441216523
oct3150374366
91088176375
10430045430
11200827551
12100030a72
136b131169
144118614a
1527b4ad05
hex19a1f8f6

430045430 has 64 divisors (see below), whose sum is σ = 868216320. Its totient is φ = 152409600.

The previous prime is 430045417. The next prime is 430045453. The reversal of 430045430 is 34540034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430045396 and 430045405.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 681215 + ... + 681845.

It is an arithmetic number, because the mean of its divisors is an integer number (13565880).

Almost surely, 2430045430 is an apocalyptic number.

430045430 is an abundant number, since it is smaller than the sum of its proper divisors (438170890).

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

430045430 is a wasteful number, since it uses less digits than its factorization.

430045430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 430045430 is about 20737.5367389669. The cubic root of 430045430 is about 754.8108117699.

Adding to 430045430 its reverse (34540034), we get a palindrome (464585464).

The spelling of 430045430 in words is "four hundred thirty million, forty-five thousand, four hundred thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 211 323 422 631 646 1055 1262 1615 2110 3155 3230 3587 4009 6310 7174 8018 10727 11989 17935 20045 21454 23978 35870 40090 53635 59945 68153 107270 119890 133141 136306 203813 266282 340765 407626 665705 681530 1019065 1331410 2038130 2263397 2529679 4526794 5059358 11316985 12648395 22633970 25296790 43004543 86009086 215022715 430045430