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12305034 = 23573617
BaseRepresentation
bin101110111100…
…001010001010
3212011011100000
4232330022022
511122230114
61115423430
7206406510
oct56741212
925134300
1012305034
116a44a55
124154b76
13271aab1
1418c44b0
151130e09
hexbbc28a

12305034 has 48 divisors (see below), whose sum is σ = 31606848. Its totient is φ = 3514752.

The previous prime is 12305017. The next prime is 12305039. The reversal of 12305034 is 43050321.

12305034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12304998 and 12305016.

It is not an unprimeable number, because it can be changed into a prime (12305039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (658476).

Almost surely, 212305034 is an apocalyptic number.

12305034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12305034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15803424).

12305034 is an abundant number, since it is smaller than the sum of its proper divisors (19301814).

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

12305034 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 9 representation: 12305034 = (25134300)9.

12305034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12305034 is about 3507.8531896304. The cubic root of 12305034 is about 230.8665108323.

Adding to 12305034 its reverse (43050321), we get a palindrome (55355355).

The spelling of 12305034 in words is "twelve million, three hundred five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 3617 7234 10851 21702 25319 32553 50638 65106 75957 97659 151914 195318 227871 292977 455742 585954 683613 878931 1367226 1757862 2050839 4101678 6152517 12305034