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434324304344 = 23737996721031
BaseRepresentation
bin1100101000111111011…
…11101111000111011000
31112112001210210200202002
412110133233233013120
524103444010214334
6531305325100132
743243650450110
oct6243757570730
91475053720662
10434324304344
11158217824277
12702123b7648
1331c588822b8
1417042a60040
15b46eea7b7e
hex651fbef1d8

434324304344 has 64 divisors (see below), whose sum is σ = 955990210560. Its totient is φ = 181081422720.

The previous prime is 434324304317. The next prime is 434324304353. The reversal of 434324304344 is 443403423434.

It is a junction number, because it is equal to n+sod(n) for n = 434324304298 and 434324304307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20641109 + ... + 20662139.

It is an arithmetic number, because the mean of its divisors is an integer number (14937347040).

Almost surely, 2434324304344 is an apocalyptic number.

It is an amenable number.

434324304344 is an abundant number, since it is smaller than the sum of its proper divisors (521665906216).

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

434324304344 is a wasteful number, since it uses less digits than its factorization.

434324304344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31048 (or 31044 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 434324304344 its reverse (443403423434), we get a palindrome (877727727778).

The spelling of 434324304344 in words is "four hundred thirty-four billion, three hundred twenty-four million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 9967 19934 21031 39868 42062 69769 79736 84124 139538 147217 168248 279076 294434 368779 558152 588868 737558 778147 1177736 1475116 1556294 2581453 2950232 3112588 5162906 5447029 6225176 10325812 10894058 20651624 21788116 43576232 209615977 419231954 838463908 1467311839 1676927816 2934623678 5869247356 7755791149 11738494712 15511582298 31023164596 54290538043 62046329192 108581076086 217162152172 434324304344