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1348703328 = 253710718757
BaseRepresentation
bin101000001100011…
…1001010001100000
310110222211020011010
41100120321101200
510230232001303
6341455220520
745264534450
oct12030712140
93428736133
101348703328
11632342855
12317817740
1318655b10b
14cb19bd60
157d610c03
hex50639460

1348703328 has 96 divisors (see below), whose sum is σ = 4084141824. Its totient is φ = 381722112.

The previous prime is 1348703327. The next prime is 1348703333. The reversal of 1348703328 is 8233078431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348703327) by changing a digit.

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, 62526 + ... + 81282.

It is an arithmetic number, because the mean of its divisors is an integer number (42543144).

Almost surely, 21348703328 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 1348703328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042070912).

1348703328 is an abundant number, since it is smaller than the sum of its proper divisors (2735438496).

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

1348703328 is a wasteful number, since it uses less digits than its factorization.

1348703328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18884 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1348703328 is about 36724.6964316929. The cubic root of 1348703328 is about 1104.8554858340.

The spelling of 1348703328 in words is "one billion, three hundred forty-eight million, seven hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 17976 18757 23968 35952 37514 56271 71904 75028 112542 131299 150056 225084 262598 300112 393897 450168 525196 600224 787794 900336 1050392 1575588 1800672 2006999 2100784 3151176 4013998 4201568 6020997 6302352 8027996 12041994 12604704 14048993 16055992 24083988 28097986 32111984 42146979 48167976 56195972 64223968 84293958 96335952 112391944 168587916 192671904 224783888 337175832 449567776 674351664 1348703328