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1324008064 = 27231672693
BaseRepresentation
bin100111011101010…
…1100001010000000
310102021100120121201
41032322230022000
510202421224224
6335214030544
744544611551
oct11672541200
93367316551
101324008064
1161a405945
1230b4a8454
131813c2832
14c7bb0328
157b383a44
hex4eeac280

1324008064 has 64 divisors (see below), whose sum is σ = 2769863040. Its totient is φ = 629195776.

The previous prime is 1324008053. The next prime is 1324008089. The reversal of 1324008064 is 4608004231.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490302 + ... + 492994.

It is an arithmetic number, because the mean of its divisors is an integer number (43279110).

Almost surely, 21324008064 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 1324008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384931520).

1324008064 is an abundant number, since it is smaller than the sum of its proper divisors (1445854976).

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

1324008064 is a wasteful number, since it uses less digits than its factorization.

1324008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1324008064 is about 36386.9216065333. The cubic root of 1324008064 is about 1098.0704641669.

The spelling of 1324008064 in words is "one billion, three hundred twenty-four million, eight thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 167 184 334 368 668 736 1336 1472 2672 2693 2944 3841 5344 5386 7682 10688 10772 15364 21376 21544 30728 43088 61456 61939 86176 122912 123878 172352 245824 247756 344704 449731 491648 495512 899462 991024 1798924 1982048 3597848 3964096 7195696 7928192 10343813 14391392 20687626 28782784 41375252 57565568 82750504 165501008 331002016 662004032 1324008064