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1330329968 = 2411173761197
BaseRepresentation
bin100111101001011…
…0011100101110000
310102201020202122022
41033102303211300
510211031024333
6340001331012
744652422012
oct11722634560
93381222568
101330329968
11622a33660
12311636a68
131827c71c6
14c89781b2
157bbd1c98
hex4f4b3970

1330329968 has 160 divisors (see below), whose sum is σ = 3123603648. Its totient is φ = 541900800.

The previous prime is 1330329967. The next prime is 1330329983. The reversal of 1330329968 is 8699230331.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330329967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6752846 + ... + 6753042.

Almost surely, 21330329968 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 1330329968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561801824).

1330329968 is an abundant number, since it is smaller than the sum of its proper divisors (1793273680).

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

1330329968 is a wasteful number, since it uses less digits than its factorization.

1330329968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 1330329968 is about 36473.6887084375. The cubic root of 1330329968 is about 1099.8153872000.

The spelling of 1330329968 in words is "one billion, three hundred thirty million, three hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 61 68 74 88 122 136 148 176 187 197 244 272 296 374 394 407 488 592 629 671 748 788 814 976 1037 1258 1342 1496 1576 1628 2074 2167 2257 2516 2684 2992 3152 3256 3349 4148 4334 4514 5032 5368 6512 6698 6919 7289 8296 8668 9028 10064 10736 11407 12017 13396 13838 14578 16592 17336 18056 22814 24034 24827 26792 27676 29156 34672 36112 36839 38369 45628 48068 49654 53584 55352 58312 73678 76738 80179 91256 96136 99308 110704 116624 123913 132187 147356 153476 160358 182512 192272 198616 204289 247826 264374 294712 306952 320716 397232 408578 422059 444629 495652 528748 589424 613904 641432 817156 844118 889258 991304 1057496 1282864 1363043 1634312 1688236 1778516 1982608 2114992 2247179 2726086 3268624 3376472 3557032 4494358 4890919 5452172 6752944 7114064 7558693 8988716 9781838 10904344 15117386 17977432 19563676 21808688 30234772 35954864 39127352 60469544 78254704 83145623 120939088 166291246 332582492 665164984 1330329968