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12434500 = 2253131913
BaseRepresentation
bin101111011011…
…110001000100
3212101201221001
4233123301010
511140401000
61122303044
7210456121
oct57336104
925351831
1012434500
117023251
1241b7a84
1327649c0
141919748
15115946a
hexbdbc44

12434500 has 48 divisors (see below), whose sum is σ = 29261232. Its totient is φ = 4588800.

The previous prime is 12434491. The next prime is 12434501. The reversal of 12434500 is 543421.

It can be written as a sum of positive squares in 8 ways, for example, as 3873024 + 8561476 = 1968^2 + 2926^2 .

It is not an unprimeable number, because it can be changed into a prime (12434501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5544 + ... + 7456.

It is an arithmetic number, because the mean of its divisors is an integer number (609609).

Almost surely, 212434500 is an apocalyptic number.

12434500 is a gapful number since it is divisible by the number (10) 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 12434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630616).

12434500 is an abundant number, since it is smaller than the sum of its proper divisors (16826732).

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

12434500 is a wasteful number, since it uses less digits than its factorization.

12434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 12434500 is about 3526.2586405424. The cubic root of 12434500 is about 231.6733661492.

Adding to 12434500 its reverse (543421), we get a palindrome (12977921).

The spelling of 12434500 in words is "twelve million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 1913 3250 3826 6500 7652 9565 19130 24869 38260 47825 49738 95650 99476 124345 191300 239125 248690 478250 497380 621725 956500 1243450 2486900 3108625 6217250 12434500