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4313310768 = 2432135414259
BaseRepresentation
bin1000000010001011…
…11110011000110000
3102010121020220000200
410001011332120300
532313201421033
61552001115200
7211613352024
oct40105763060
912117226020
104313310768
11191382a248
12a04628b00
135397cccc0
142ccbd0384
151a3a13013
hex10117e630

4313310768 has 120 divisors (see below), whose sum is σ = 13026926640. Its totient is φ = 1324408320.

The previous prime is 4313310761. The next prime is 4313310803. The reversal of 4313310768 is 8670133134.

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

It is not an unprimeable number, because it can be changed into a prime (4313310761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010623 + ... + 1014881.

It is an arithmetic number, because the mean of its divisors is an integer number (108557722).

Almost surely, 24313310768 is an apocalyptic number.

4313310768 is a gapful number since it is divisible by the number (48) 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 4313310768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513463320).

4313310768 is an abundant number, since it is smaller than the sum of its proper divisors (8713615872).

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

4313310768 is a wasteful number, since it uses less digits than its factorization.

4313310768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4313310768 is about 65675.8004747563. The cubic root of 4313310768 is about 1627.8095167589.

The spelling of 4313310768 in words is "four billion, three hundred thirteen million, three hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 541 624 936 1082 1623 1872 2164 3246 4259 4328 4869 6492 7033 8518 8656 9738 12777 12984 14066 17036 19476 21099 25554 25968 28132 34072 38331 38952 42198 51108 55367 56264 63297 68144 76662 77904 84396 102216 110734 112528 126594 153324 166101 168792 204432 221468 253188 306648 332202 337584 442936 498303 506376 613296 664404 885872 996606 1012752 1328808 1993212 2304119 2657616 3986424 4608238 6912357 7972848 9216476 13824714 18432952 20737071 27649428 29953547 36865904 41474142 55298856 59907094 82948284 89860641 110597712 119814188 165896568 179721282 239628376 269581923 331793136 359442564 479256752 539163846 718885128 1078327692 1437770256 2156655384 4313310768