[go: up one dir, main page]

Search a number
-
+
12834008 = 23112947107
BaseRepresentation
bin110000111101…
…010011011000
3220011000221122
4300331103120
511241142013
61135024412
7214041635
oct60752330
926130848
1012834008
117276420
12436b108
1328747b5
1419c118c
1511d7a08
hexc3d4d8

12834008 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 5461120.

The previous prime is 12834001. The next prime is 12834013. The reversal of 12834008 is 80043821.

12834008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128340082 = 329423522688128, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12834001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119891 + ... + 119997.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 212834008 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 12834008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

12834008 is an abundant number, since it is smaller than the sum of its proper divisors (15159592).

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

12834008 is a wasteful number, since it uses less digits than its factorization.

12834008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12834008 is about 3582.4583737986. The cubic root of 12834008 is about 234.1284025121.

Adding to 12834008 its reverse (80043821), we get a palindrome (92877829).

The spelling of 12834008 in words is "twelve million, eight hundred thirty-four thousand, eight".

Divisors: 1 2 4 8 11 22 29 44 47 58 88 94 107 116 188 214 232 319 376 428 517 638 856 1034 1177 1276 1363 2068 2354 2552 2726 3103 4136 4708 5029 5452 6206 9416 10058 10904 12412 14993 20116 24824 29986 34133 40232 55319 59972 68266 110638 119944 136532 145841 221276 273064 291682 442552 583364 1166728 1604251 3208502 6417004 12834008