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32342434434 = 235436723099
BaseRepresentation
bin11110000111110000…
…100110001010000010
310002110222222220100000
4132013300212022002
51012214130400214
622505150340430
72223322104522
oct360760461202
9102428886300
1032342434434
1112797508762
1263274ba716
133085776b8b
1417cb5a1682
15c945cd809
hex787c26282

32342434434 has 96 divisors (see below), whose sum is σ = 75473798400. Its totient is φ = 10372480272.

The previous prime is 32342434427. The next prime is 32342434463. The reversal of 32342434434 is 43443424323.

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, 1388617 + ... + 1411715.

It is an arithmetic number, because the mean of its divisors is an integer number (786185400).

Almost surely, 232342434434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32342434434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37736899200).

32342434434 is an abundant number, since it is smaller than the sum of its proper divisors (43131363966).

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

32342434434 is a wasteful number, since it uses less digits than its factorization.

32342434434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23226 (or 23214 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 32342434434 its reverse (43443424323), we get a palindrome (75785858757).

The spelling of 32342434434 in words is "thirty-two billion, three hundred forty-two million, four hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 67 81 86 129 134 162 201 243 258 387 402 486 603 774 1161 1206 1809 2322 2881 3483 3618 5427 5762 6966 8643 10449 10854 16281 17286 20898 23099 25929 32562 46198 51858 69297 77787 138594 155574 207891 233361 415782 466722 623673 700083 993257 1247346 1400166 1547633 1871019 1986514 2979771 3095266 3742038 4642899 5613057 5959542 8939313 9285798 11226114 13928697 17878626 26817939 27857394 41786091 53635878 66548219 80453817 83572182 125358273 133096438 160907634 199644657 241361451 250716546 376074819 399289314 482722902 598933971 752149638 1197867942 1796801913 3593603826 5390405739 10780811478 16171217217 32342434434