Search a number
-
+
430011342 = 2351794943
BaseRepresentation
bin11001101000010…
…111001111001110
31002222010211200000
4121220113033032
51340040330332
6110400345130
713441015245
oct3150271716
91088124600
10430011342
11200803982
121000151a6
136b11b7a7
144117795c
1527b40b7c
hex19a173ce

430011342 has 48 divisors (see below), whose sum is σ = 971792640. Its totient is φ = 142507512.

The previous prime is 430011229. The next prime is 430011343. The reversal of 430011342 is 243110034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430011343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84523 + ... + 89465.

It is an arithmetic number, because the mean of its divisors is an integer number (20245680).

Almost surely, 2430011342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430011342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485896320).

430011342 is an abundant number, since it is smaller than the sum of its proper divisors (541781298).

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

430011342 is a wasteful number, since it uses less digits than its factorization.

430011342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430011342 is about 20736.7148314288. The cubic root of 430011342 is about 754.7908676206.

Adding to 430011342 its reverse (243110034), we get a palindrome (673121376).

The spelling of 430011342 in words is "four hundred thirty million, eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 1074 1611 3222 4833 4943 9666 9886 14499 14829 28998 29658 43497 44487 86994 88974 133461 266922 400383 800766 884797 1201149 1769594 2402298 2654391 5308782 7963173 15926346 23889519 47779038 71668557 143337114 215005671 430011342