Search a number
-
+
430022034 = 23513292347
BaseRepresentation
bin11001101000011…
…001110110010010
31002222011101100000
4121220121312102
51340041201114
6110400510430
713441061361
oct3150316622
91088141300
10430022034
11200810a12
1210001b416
136b123610
144117b7d8
1527b43e09
hex19a19d92

430022034 has 96 divisors (see below), whose sum is σ = 1076886720. Its totient is φ = 127697472.

The previous prime is 430022027. The next prime is 430022069. The reversal of 430022034 is 430220034.

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

It is a junction number, because it is equal to n+sod(n) for n = 430021998 and 430022016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182049 + ... + 184395.

It is an arithmetic number, because the mean of its divisors is an integer number (11217570).

Almost surely, 2430022034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430022034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538443360).

430022034 is an abundant number, since it is smaller than the sum of its proper divisors (646864686).

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

430022034 is a wasteful number, since it uses less digits than its factorization.

430022034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 430022034 is about 20736.9726334390. The cubic root of 430022034 is about 754.7971233913.

Adding to 430022034 its reverse (430220034), we get a palindrome (860242068).

The spelling of 430022034 in words is "four hundred thirty million, twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 243 261 351 377 486 522 702 754 783 1053 1131 1566 2106 2262 2347 2349 3159 3393 4694 4698 6318 6786 7041 7047 10179 14082 14094 20358 21123 30511 30537 42246 61022 61074 63369 68063 91533 91611 126738 136126 183066 183222 190107 204189 274599 380214 408378 549198 570321 612567 823797 884819 1140642 1225134 1647594 1769638 1837701 2471391 2654457 3675402 4942782 5308914 5513103 7414173 7963371 11026206 14828346 15926742 16539309 23890113 33078618 47780226 71670339 143340678 215011017 430022034