Search a number
-
+
30320440960 = 27568832
BaseRepresentation
bin11100001111001111…
…010011011010000000
32220021002020222201211
4130033033103122000
5444044013102320
621532400135504
72122240332025
oct341717233200
986232228654
1030320440960
111194a10a077
125a62307594
132b2289bc34
141678c1d54c
15bc6d2455a
hex70f3d3680

30320440960 has 48 divisors (see below), whose sum is σ = 72495336690. Its totient is φ = 12126414336.

The previous prime is 30320440907. The next prime is 30320440973. The reversal of 30320440960 is 6904402303.

It can be written as a sum of positive squares in only one way, i.e., 27288396864 + 3032044096 = 165192^2 + 55064^2 .

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 5 ways as a sum of consecutive naturals, for example, 4401679 + ... + 4408561.

Almost surely, 230320440960 is an apocalyptic number.

It is an amenable number.

30320440960 is an abundant number, since it is smaller than the sum of its proper divisors (42174895730).

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

30320440960 is an frugal number, since it uses more digits than its factorization.

30320440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 30320440960 in words is "thirty billion, three hundred twenty million, four hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6883 13766 27532 34415 55064 68830 110128 137660 220256 275320 440512 550640 881024 1101280 2202560 4405120 47375689 94751378 189502756 236878445 379005512 473756890 758011024 947513780 1516022048 1895027560 3032044096 3790055120 6064088192 7580110240 15160220480 30320440960