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13407324 = 2237193827
BaseRepresentation
bin110011001001…
…010001011100
3221020011101120
4303021101130
511413013244
61155210540
7221650260
oct63112134
927204346
1013407324
117628137
1245a6a50
132a15738
141ad00a0
15129c819
hexcc945c

13407324 has 48 divisors (see below), whose sum is σ = 35981568. Its totient is φ = 3806208.

The previous prime is 13407323. The next prime is 13407341. The reversal of 13407324 is 42370431.

It is a junction number, because it is equal to n+sod(n) for n = 13407294 and 13407303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15799 + ... + 16625.

It is an arithmetic number, because the mean of its divisors is an integer number (749616).

Almost surely, 213407324 is an apocalyptic number.

13407324 is a gapful number since it is divisible by the number (14) 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 13407324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990784).

13407324 is an abundant number, since it is smaller than the sum of its proper divisors (22574244).

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

13407324 is a wasteful number, since it uses less digits than its factorization.

13407324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 13407324 is about 3661.6012890537. The cubic root of 13407324 is about 237.5640396098.

Adding to 13407324 its reverse (42370431), we get a palindrome (55777755).

It can be divided in two parts, 13407 and 324, that added together give a palindrome (13731).

The spelling of 13407324 in words is "thirteen million, four hundred seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 827 1158 1351 1654 2316 2481 2702 3308 4053 4962 5404 5789 8106 9924 11578 16212 17367 23156 34734 69468 159611 319222 478833 638444 957666 1117277 1915332 2234554 3351831 4469108 6703662 13407324