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1324135998 = 2342929719
BaseRepresentation
bin100111011101100…
…1011011000111110
310102021121002010000
41032323023120332
510202434322443
6335220455130
744545653543
oct11673133076
93367532100
101324135998
1161a492a79
1230b54a4a6
13181438b33
14c7c04bca
157b3ab8d3
hex4eecb63e

1324135998 has 60 divisors (see below), whose sum is σ = 3073201560. Its totient is φ = 426114864.

The previous prime is 1324135993. The next prime is 1324135999. The reversal of 1324135998 is 8995314231.

It is a happy number.

1324135998 is a `hidden beast` number, since 13 + 2 + 41 + 3 + 599 + 8 = 666.

It is a super-2 number, since 2×13241359982 = 3506672282398912008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324135991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 131383 + ... + 141101.

It is an arithmetic number, because the mean of its divisors is an integer number (51220026).

Almost surely, 21324135998 is an apocalyptic number.

1324135998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324135998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536600780).

1324135998 is an abundant number, since it is smaller than the sum of its proper divisors (1749065562).

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

1324135998 is an equidigital number, since it uses as much as digits as its factorization.

1324135998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9753 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 1324135998 is about 36388.6795308651. The cubic root of 1324135998 is about 1098.1058305230.

The spelling of 1324135998 in words is "one billion, three hundred twenty-four million, one hundred thirty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 841 1566 1682 2349 2523 4698 5046 7569 9719 15138 19438 22707 29157 45414 58314 68121 87471 136242 174942 262413 281851 524826 563702 787239 845553 1574478 1691106 2536659 5073318 7609977 8173679 15219954 16347358 22829931 24521037 45659862 49042074 73563111 147126222 220689333 441378666 662067999 1324135998