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1324012000 = 25531911733
BaseRepresentation
bin100111011101010…
…1101000111100000
310102021100210000111
41032322231013200
510202421341000
6335214101104
744544626203
oct11672550740
93367323014
101324012000
1161a4088a3
1230b4aa794
131813c456c
14c7bb193a
157b384cba
hex4eead1e0

1324012000 has 96 divisors (see below), whose sum is σ = 3272016384. Its totient is φ = 526528000.

The previous prime is 1324011989. The next prime is 1324012021. The reversal of 1324012000 is 2104231.

It is a super-2 number, since 2×13240120002 = 3506015552288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763134 + ... + 764866.

It is an arithmetic number, because the mean of its divisors is an integer number (34083504).

Almost surely, 21324012000 is an apocalyptic number.

1324012000 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 1324012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636008192).

1324012000 is an abundant number, since it is smaller than the sum of its proper divisors (1948004384).

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

1324012000 is a wasteful number, since it uses less digits than its factorization.

1324012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1324012000 is about 36386.9756918599. The cubic root of 1324012000 is about 1098.0715522773.

Adding to 1324012000 its reverse (2104231), we get a palindrome (1326116231).

The spelling of 1324012000 in words is "one billion, three hundred twenty-four million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 764 800 955 1000 1528 1733 1910 2000 3056 3466 3820 4000 4775 6112 6932 7640 8665 9550 13864 15280 17330 19100 23875 27728 30560 34660 38200 43325 47750 55456 69320 76400 86650 95500 138640 152800 173300 191000 216625 277280 331003 346600 382000 433250 662006 693200 764000 866500 1324012 1386400 1655015 1733000 2648024 3310030 3466000 5296048 6620060 6932000 8275075 10592096 13240120 16550150 26480240 33100300 41375375 52960480 66200600 82750750 132401200 165501500 264802400 331003000 662006000 1324012000