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1303013304 = 23344874129
BaseRepresentation
bin100110110101010…
…0110011110111000
310100210211221020000
41031222212132320
510132032411204
6333144033000
744201300415
oct11552463670
93323757200
101303013304
116095761aa
12304462760
13179c516b8
14c50a710c
15795d8039
hex4daa67b8

1303013304 has 80 divisors (see below), whose sum is σ = 3658023600. Its totient is φ = 433340928.

The previous prime is 1303013303. The next prime is 1303013317. The reversal of 1303013304 is 4033103031.

1303013304 is a `hidden beast` number, since 1 + 30 + 301 + 330 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303013303) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 313512 + ... + 317640.

It is an arithmetic number, because the mean of its divisors is an integer number (45725295).

Almost surely, 21303013304 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 1303013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829011800).

1303013304 is an abundant number, since it is smaller than the sum of its proper divisors (2355010296).

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

1303013304 is a wasteful number, since it uses less digits than its factorization.

1303013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303013304 is about 36097.2755758658. The cubic root of 1303013304 is about 1092.2354883997.

Adding to 1303013304 its reverse (4033103031), we get a palindrome (5336116335).

The spelling of 1303013304 in words is "one billion, three hundred three million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 487 648 974 1461 1948 2922 3896 4129 4383 5844 8258 8766 11688 12387 13149 16516 17532 24774 26298 33032 35064 37161 39447 49548 52596 74322 78894 99096 105192 111483 148644 157788 222966 297288 315576 334449 445932 668898 891864 1337796 2010823 2675592 4021646 6032469 8043292 12064938 16086584 18097407 24129876 36194814 48259752 54292221 72389628 108584442 144779256 162876663 217168884 325753326 434337768 651506652 1303013304