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6328704312 = 233473145007
BaseRepresentation
bin1011110010011100…
…00101110100111000
3121100001120111020000
411321032011310320
5100430122014222
62523554033000
7312555045660
oct57116056470
917301514200
106328704312
112758430247
121287578760
1379b206b68
144407351a0
152709169ac
hex179385d38

6328704312 has 160 divisors (see below), whose sum is σ = 20912517120. Its totient is φ = 1749833280.

The previous prime is 6328704289. The next prime is 6328704397. The reversal of 6328704312 is 2134078236.

It is a happy number.

6328704312 is a `hidden beast` number, since 63 + 287 + 0 + 4 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 118113 + ... + 163119.

It is an arithmetic number, because the mean of its divisors is an integer number (130703232).

Almost surely, 26328704312 is an apocalyptic number.

6328704312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328704312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456258560).

6328704312 is an abundant number, since it is smaller than the sum of its proper divisors (14583812808).

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

6328704312 is a wasteful number, since it uses less digits than its factorization.

6328704312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45063 (or 45050 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6328704312 is about 79553.1540040997. The cubic root of 6328704312 is about 1849.7154967416.

The spelling of 6328704312 in words is "six billion, three hundred twenty-eight million, seven hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 3348 3906 4536 5022 5208 5859 6696 7812 10044 11718 15624 17577 20088 23436 35154 45007 46872 70308 90014 135021 140616 180028 270042 315049 360056 405063 540084 630098 810126 945147 1080168 1215189 1260196 1395217 1620252 1890294 2430378 2520392 2790434 2835441 3240504 3645567 3780588 4185651 4860756 5580868 5670882 7291134 7561176 8371302 8506323 9721512 9766519 11161736 11341764 12556953 14582268 16742604 17012646 19533038 22683528 25113906 25518969 29164536 29299557 33485208 34025292 37670859 39066076 50227812 51037938 58599114 68050584 75341718 78132152 87898671 100455624 102075876 113012577 117198228 150683436 175797342 204151752 226025154 234396456 263696013 301366872 351594684 452050308 527392026 703189368 791088039 904100616 1054784052 1582176078 2109568104 3164352156 6328704312