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1323995456 = 2674368729
BaseRepresentation
bin100111011101010…
…1001000101000000
310102021022221022202
41032322221011000
510202420323311
6335213452332
744544530030
oct11672510500
93367287282
101323995456
1161a3a7423
1230b4a10a8
131813b9b84
14c7ba98c0
157b37ee3b
hex4eea9140

1323995456 has 56 divisors (see below), whose sum is σ = 3072505920. Its totient is φ = 554222592.

The previous prime is 1323995363. The next prime is 1323995507. The reversal of 1323995456 is 6545993231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×13239954563 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1323995456.

It is a congruent number.

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, 15101 + ... + 53628.

Almost surely, 21323995456 is an apocalyptic number.

1323995456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1323995456 is an abundant number, since it is smaller than the sum of its proper divisors (1748510464).

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

1323995456 is an equidigital number, since it uses as much as digits as its factorization.

1323995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68791 (or 68781 counting only the distinct ones).

The product of its digits is 874800, while the sum is 47.

The square root of 1323995456 is about 36386.7483570599. The cubic root of 1323995456 is about 1098.0669786603.

The spelling of 1323995456 in words is "one billion, three hundred twenty-three million, nine hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 9632 19264 68729 137458 274916 481103 549832 962206 1099664 1924412 2199328 2955347 3848824 4398656 5910694 7697648 11821388 15395296 20687429 23642776 30790592 41374858 47285552 82749716 94571104 165499432 189142208 330998864 661997728 1323995456