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1324130304 = 2133743179
BaseRepresentation
bin100111011101100…
…1010000000000000
310102021120210022010
41032323022000000
510202434132204
6335220412520
744545631130
oct11673120000
93367523263
101324130304
1161a489772
1230b547140
13181436373
14c7c02ac0
157b3a9d89
hex4eeca000

1324130304 has 224 divisors, whose sum is σ = 4152107520. Its totient is φ = 367460352.

The previous prime is 1324130299. The next prime is 1324130317. The reversal of 1324130304 is 4030314231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13241303042 = 3506642123942264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 7397287 + ... + 7397465.

Almost surely, 21324130304 is an apocalyptic number.

1324130304 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 1324130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076053760).

1324130304 is an abundant number, since it is smaller than the sum of its proper divisors (2827977216).

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

1324130304 is an equidigital number, since it uses as much as digits as its factorization.

1324130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1324130304 is about 36388.6012921629. The cubic root of 1324130304 is about 1098.1042565096.

Adding to 1324130304 its reverse (4030314231), we get a palindrome (5354444535).

The spelling of 1324130304 in words is "one billion, three hundred twenty-four million, one hundred thirty thousand, three hundred four".