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12134448 = 24353121
BaseRepresentation
bin101110010010…
…100000110000
3211211111100000
4232102200300
511101300243
61112030000
7205066254
oct56224060
924744300
1012134448
116938877
124092300
13268b261
14187c264
1510ea5d3
hexb92830

12134448 has 60 divisors (see below), whose sum is σ = 35228648. Its totient is φ = 4043520.

The previous prime is 12134431. The next prime is 12134449. The reversal of 12134448 is 84443121.

12134448 is a `hidden beast` number, since 1 + 213 + 4 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12134449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2328 + ... + 5448.

Almost surely, 212134448 is an apocalyptic number.

12134448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614324).

12134448 is an abundant number, since it is smaller than the sum of its proper divisors (23094200).

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

12134448 is an equidigital number, since it uses as much as digits as its factorization.

12134448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3126 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12134448 is about 3483.4534588537. The cubic root of 12134448 is about 229.7947002302.

Adding to 12134448 its reverse (84443121), we get a palindrome (96577569).

The spelling of 12134448 in words is "twelve million, one hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3121 3888 6242 9363 12484 18726 24968 28089 37452 49936 56178 74904 84267 112356 149808 168534 224712 252801 337068 449424 505602 674136 758403 1011204 1348272 1516806 2022408 3033612 4044816 6067224 12134448