Search a number
-
+
3045070728 = 233273126287
BaseRepresentation
bin1011010110000000…
…0001011110001000
321212012211121202100
42311200001132020
522214014230403
61222054233400
7135313450140
oct26540013610
97765747670
103045070728
111322954787
1270b955860
13396b350cb
1420c5b9920
1512c4e82a3
hexb5801788

3045070728 has 144 divisors (see below), whose sum is σ = 9740615040. Its totient is φ = 841821120.

The previous prime is 3045070723. The next prime is 3045070729. The reversal of 3045070728 is 8270705403.

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

It is a junction number, because it is equal to n+sod(n) for n = 3045070692 and 3045070701.

It is not an unprimeable number, because it can be changed into a prime (3045070723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 481201 + ... + 487487.

It is an arithmetic number, because the mean of its divisors is an integer number (67643160).

Almost surely, 23045070728 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 3045070728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870307520).

3045070728 is an abundant number, since it is smaller than the sum of its proper divisors (6695544312).

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

3045070728 is a wasteful number, since it uses less digits than its factorization.

3045070728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3045070728 is about 55182.1595083049. The cubic root of 3045070728 is about 1449.4362815446.

The spelling of 3045070728 in words is "three billion, forty-five million, seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 961 1116 1302 1736 1922 1953 2232 2604 2883 3844 3906 5208 5766 6287 6727 7688 7812 8649 11532 12574 13454 15624 17298 18861 20181 23064 25148 26908 34596 37722 40362 44009 50296 53816 56583 60543 69192 75444 80724 88018 113166 121086 132027 150888 161448 176036 194897 226332 242172 264054 352072 389794 396081 452664 484344 528108 584691 779588 792162 1056216 1169382 1364279 1559176 1584324 1754073 2338764 2728558 3168648 3508146 4092837 4677528 5457116 6041807 7016292 8185674 10914232 12083614 12278511 14032584 16371348 18125421 24167228 24557022 32742696 36250842 42292649 48334456 49114044 54376263 72501684 84585298 98228088 108752526 126877947 145003368 169170596 217505052 253755894 338341192 380633841 435010104 507511788 761267682 1015023576 1522535364 3045070728