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3305332134 = 2321317883941
BaseRepresentation
bin1100010100000011…
…0101110110100110
322112100120021021200
43011000311312212
523232131112014
61303552423330
7144623600556
oct30500656646
98470507250
103305332134
111446856a55
12782b47b46
13408a2b340
14234da7166
151452a7a09
hexc5035da6

3305332134 has 96 divisors (see below), whose sum is σ = 8184050784. Its totient is φ = 955100160.

The previous prime is 3305332123. The next prime is 3305332171. The reversal of 3305332134 is 4312335033.

It is a happy number.

3305332134 is a `hidden beast` number, since 3 + 305 + 3 + 321 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3305332098 and 3305332107.

It is a congruent number.

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, 3512104 + ... + 3513044.

It is an arithmetic number, because the mean of its divisors is an integer number (85250529).

Almost surely, 23305332134 is an apocalyptic number.

3305332134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305332134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092025392).

3305332134 is an abundant number, since it is smaller than the sum of its proper divisors (4878718650).

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

3305332134 is a wasteful number, since it uses less digits than its factorization.

3305332134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 3305332134 is about 57492.0180025019. The cubic root of 3305332134 is about 1489.6069912230.

Adding to 3305332134 its reverse (4312335033), we get a palindrome (7617667167).

The spelling of 3305332134 in words is "three billion, three hundred five million, three hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 883 941 1326 1766 1882 1989 2649 2823 3978 5298 5646 7947 8469 11479 12233 15011 15894 15997 16938 22958 24466 30022 31994 34437 36699 45033 47991 68874 73398 90066 95982 103311 110097 135099 143973 195143 206622 207961 220194 270198 287946 390286 415922 585429 623883 830903 1170858 1247766 1661806 1756287 1871649 2492709 3512574 3743298 4985418 7478127 10801739 14125351 14956254 21603478 28250702 32405217 42376053 64810434 84752106 97215651 127128159 183629563 194431302 254256318 367259126 550888689 1101777378 1652666067 3305332134