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1303719664 = 241317503733
BaseRepresentation
bin100110110110101…
…0010111011110000
310100212011211011111
41031231102323300
510132223012124
6333211123104
744210301652
oct11555227360
93325154144
101303719664
11609a08975
12304743494
1317a13b070
14c520c6d2
15796c7494
hex4db52ef0

1303719664 has 80 divisors (see below), whose sum is σ = 2889940032. Its totient is φ = 564424704.

The previous prime is 1303719631. The next prime is 1303719689. The reversal of 1303719664 is 4669173031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778242 + ... + 1778974.

Almost surely, 21303719664 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 1303719664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444970016).

1303719664 is an abundant number, since it is smaller than the sum of its proper divisors (1586220368).

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

1303719664 is a wasteful number, since it uses less digits than its factorization.

1303719664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 1303719664 is about 36107.0583681363. The cubic root of 1303719664 is about 1092.4328187180.

The spelling of 1303719664 in words is "one billion, three hundred three million, seven hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 503 733 884 1006 1466 1768 2012 2932 3536 4024 5864 6539 8048 8551 9529 11728 12461 13078 17102 19058 24922 26156 34204 38116 49844 52312 68408 76232 99688 104624 111163 136816 152464 161993 199376 222326 323986 368699 444652 647972 737398 889304 1295944 1474796 1778608 2591888 2949592 4793087 5899184 6267883 9586174 12535766 19172348 25071532 38344696 50143064 76689392 81482479 100286128 162964958 325929916 651859832 1303719664