Search a number
-
+
30300016761 = 38723072
BaseRepresentation
bin11100001110000001…
…011001000001111001
32220012122211100000000
4130032001121001321
5444023301014021
621530350303213
72121601615200
oct341601310171
986178740000
1030300016761
111193962a073
125a574b7b09
132b1b59a701
141676224237
15bc513cb26
hex70e059079

30300016761 has 81 divisors (see below), whose sum is σ = 53040519909. Its totient is φ = 17257896936.

The previous prime is 30300016711. The next prime is 30300016781. The reversal of 30300016761 is 16761000303.

The square root of 30300016761 is 174069.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 30300016761 - 211 = 30300014713 is a prime.

It is a super-2 number, since 2×303000167612 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30300016711) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98696970 + ... + 98697276.

Almost surely, 230300016761 is an apocalyptic number.

30300016761 is the 174069-th square number.

30300016761 is the 87035-th centered octagonal number.

It is an amenable number.

30300016761 is a deficient number, since it is larger than the sum of its proper divisors (22740503148).

30300016761 is an frugal number, since it uses more digits than its factorization.

30300016761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 30300016761 in words is "thirty billion, three hundred million, sixteen thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 307 441 567 729 921 1323 1701 2149 2187 2763 3969 5103 6447 6561 8289 11907 15043 15309 19341 24867 35721 45129 45927 58023 74601 94249 107163 135387 174069 223803 282747 321489 406161 522207 659743 671409 848241 1218483 1566621 1979229 2014227 2544723 3655449 4618201 4699863 5937687 7634169 10966347 13854603 14099589 17813061 22902507 32899041 41563809 53439183 68707521 98697123 124691427 160317549 206122563 374074281 480952647 618367689 1122222843 1442857941 3366668529 4328573823 10100005587 30300016761