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66034332 = 22337136719
BaseRepresentation
bin1111101111100…
…1101010011100
311121020220002000
43323321222130
5113401044312
610315202300
71431165630
oct373715234
9147226060
1066034332
1134302631
121a146390
13108b0790
148aacdc0
155be5adc
hex3ef9a9c

66034332 has 96 divisors (see below), whose sum is σ = 210739200. Its totient is φ = 17413056.

The previous prime is 66034327. The next prime is 66034333. The reversal of 66034332 is 23343066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66034296 and 66034305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6469 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (2195200).

Almost surely, 266034332 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 66034332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105369600).

66034332 is an abundant number, since it is smaller than the sum of its proper divisors (144704868).

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

66034332 is a wasteful number, since it uses less digits than its factorization.

66034332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 66034332 is about 8126.1511184570. The cubic root of 66034332 is about 404.1940625683.

Adding to 66034332 its reverse (23343066), we get a palindrome (89377398).

It can be divided in two parts, 66034 and 332, that added together give a palindrome (66366).

The spelling of 66034332 in words is "sixty-six million, thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 6719 9828 13438 20157 26876 40314 47033 60471 80628 87347 94066 120942 141099 174694 181413 188132 241884 262041 282198 349388 362826 423297 524082 564396 611429 725652 786123 846594 1048164 1222858 1269891 1572246 1693188 1834287 2358369 2445716 2539782 3144492 3668574 4716738 5079564 5502861 7337148 9433476 11005722 16508583 22011444 33017166 66034332