Search a number
-
+
305350311330 = 2345699153923
BaseRepresentation
bin1000111000110000100…
…10111111110110100010
31002012011101111000010000
410130120102333312202
520000324134430310
6352135340520430
731026602551551
oct4343022776642
91065141430100
10305350311330
111085533213a9
124b219250116
1322a434222bc
1410ac9951d98
157e222614c0
hex47184bfda2

305350311330 has 80 divisors (see below), whose sum is σ = 821185732224. Its totient is φ = 81413592480.

The previous prime is 305350311307. The next prime is 305350311397. The reversal of 305350311330 is 33113053503.

It is a happy number.

305350311330 is a `hidden beast` number, since 305 + 350 + 3 + 1 + 1 + 3 + 3 + 0 = 666.

305350311330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 305350311294 and 305350311303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5635749 + ... + 5689671.

Almost surely, 2305350311330 is an apocalyptic number.

305350311330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305350311330 is an abundant number, since it is smaller than the sum of its proper divisors (515835420894).

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

305350311330 is a wasteful number, since it uses less digits than its factorization.

305350311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60933 (or 60924 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 27.

Adding to 305350311330 its reverse (33113053503), we get a palindrome (338463364833).

The spelling of 305350311330 in words is "three hundred five billion, three hundred fifty million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 6991 13982 20973 34955 41946 53923 62919 69910 104865 107846 125838 161769 188757 209730 269615 314595 323538 377514 485307 539230 566271 629190 808845 943785 970614 1132542 1455921 1617690 1887570 2426535 2831355 2911842 4367763 4853070 5662710 7279605 8735526 14559210 21838815 43677630 376975693 753951386 1130927079 1884878465 2261854158 3392781237 3769756930 5654635395 6785562474 10178343711 11309270790 16963906185 20356687422 30535031133 33927812370 50891718555 61070062266 101783437110 152675155665 305350311330