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32340014244 = 22325352132533
BaseRepresentation
bin11110000111100111…
…010111010010100100
310002110211102221110100
4132013213113102210
51012213020423434
622505022424100
72223262404546
oct360747272244
9102424387410
1032340014244
11127961053aa
126326732030
13308510a405
1417cb131696
15c942a1699
hex7879d74a4

32340014244 has 72 divisors (see below), whose sum is σ = 83453223672. Its totient is φ = 10555983360.

The previous prime is 32340014233. The next prime is 32340014257. The reversal of 32340014244 is 44241004323.

It is a happy number.

32340014244 is a `hidden beast` number, since 3 + 2 + 3 + 400 + 14 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2579624100 + 29760390144 = 50790^2 + 172512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977802 + ... + 1010334.

It is an arithmetic number, because the mean of its divisors is an integer number (1159072551).

Almost surely, 232340014244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32340014244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726611836).

32340014244 is an abundant number, since it is smaller than the sum of its proper divisors (51113209428).

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

32340014244 is a wasteful number, since it uses less digits than its factorization.

32340014244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33117 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32340014244 its reverse (44241004323), we get a palindrome (76581018567).

The spelling of 32340014244 in words is "thirty-two billion, three hundred forty million, fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 521 636 954 1042 1563 1908 2084 3126 4689 6252 9378 18756 27613 32533 55226 65066 82839 97599 110452 130132 165678 195198 248517 292797 331356 390396 497034 585594 994068 1171188 1724249 3448498 5172747 6896996 10345494 15518241 16949693 20690988 31036482 33899386 50849079 62072964 67798772 101698158 152547237 203396316 305094474 610188948 898333729 1796667458 2695001187 3593334916 5390002374 8085003561 10780004748 16170007122 32340014244