Search a number
-
+
305430072 = 23371179243
BaseRepresentation
bin10010001101000…
…111111000111000
3210021201110021220
4102031013320320
51111142230242
650150232040
710366053453
oct2215077070
9707643256
10305430072
11147453152
1286355620
134b37c56c
142c7c849a
151bc32bec
hex12347e38

305430072 has 32 divisors (see below), whose sum is σ = 774334080. Its totient is φ = 100375520.

The previous prime is 305430061. The next prime is 305430107. The reversal of 305430072 is 270034503.

305430072 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87918 + ... + 91325.

It is an arithmetic number, because the mean of its divisors is an integer number (24197940).

Almost surely, 2305430072 is an apocalyptic number.

It is an amenable number.

305430072 is an abundant number, since it is smaller than the sum of its proper divisors (468904008).

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

305430072 is a wasteful number, since it uses less digits than its factorization.

305430072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179323 (or 179319 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 305430072 is about 17476.5577846440. The cubic root of 305430072 is about 673.4477891459.

Adding to 305430072 its reverse (270034503), we get a palindrome (575464575).

The spelling of 305430072 in words is "three hundred five million, four hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 179243 358486 537729 716972 1075458 1433944 2150916 4301832 12726253 25452506 38178759 50905012 76357518 101810024 152715036 305430072