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1324431104 = 2817319817
BaseRepresentation
bin100111011110001…
…0011011100000000
310102022011001220212
41032330103130000
510203023243404
6335231053252
744551323113
oct11674233400
93368131825
101324431104
1161a674767
1230b671228
13181510259
14c7c8057a
157b41906e
hex4ef13700

1324431104 has 72 divisors (see below), whose sum is σ = 2889790848. Its totient is φ = 603095040.

The previous prime is 1324431071. The next prime is 1324431107. The reversal of 1324431104 is 4011344231.

It is a self number, because there is not a number n which added to its sum of digits gives 1324431104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324431107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130004 + ... + 139820.

It is an arithmetic number, because the mean of its divisors is an integer number (40135984).

Almost surely, 21324431104 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 1324431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444895424).

1324431104 is an abundant number, since it is smaller than the sum of its proper divisors (1565359744).

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

1324431104 is an equidigital number, since it uses as much as digits as its factorization.

1324431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1324431104 is about 36392.7342198961. The cubic root of 1324431104 is about 1098.1874015874.

Adding to 1324431104 its reverse (4011344231), we get a palindrome (5335775335).

The spelling of 1324431104 in words is "one billion, three hundred twenty-four million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 4352 7936 8432 9817 16864 19634 33728 39268 67456 78536 134912 157072 166889 304327 314144 333778 608654 628288 667556 1217308 1256576 1335112 2434616 2513152 2670224 4869232 5173559 5340448 9738464 10347118 10680896 19476928 20694236 21361792 38953856 41388472 42723584 77907712 82776944 165553888 331107776 662215552 1324431104