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12834801 = 337591151
BaseRepresentation
bin110000111101…
…011111110001
3220011002001000
4300331133301
511241203201
61135032213
7214044150
oct60753761
926132030
1012834801
117276a81
12436b669
132874c75
1419c1597
1511d7d86
hexc3d7f1

12834801 has 32 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 7203600.

The previous prime is 12834799. The next prime is 12834817. The reversal of 12834801 is 10843821.

It is not a de Polignac number, because 12834801 - 21 = 12834799 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12834821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10576 + ... + 11726.

It is an arithmetic number, because the mean of its divisors is an integer number (691200).

Almost surely, 212834801 is an apocalyptic number.

It is an amenable number.

12834801 is a deficient number, since it is larger than the sum of its proper divisors (9283599).

12834801 is a wasteful number, since it uses less digits than its factorization.

12834801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12834801 is about 3582.5690502766. The cubic root of 12834801 is about 234.1332245963.

It can be divided in two parts, 1283 and 4801, that added together give a square (6084 = 782).

The spelling of 12834801 in words is "twelve million, eight hundred thirty-four thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1151 1239 1593 3453 3717 8057 10359 11151 24171 31077 67909 72513 203727 217539 475363 611181 1426089 1833543 4278267 12834801