Search a number
-
+
30402334332 = 22327111894497
BaseRepresentation
bin11100010100000111…
…101100111001111100
32220110210100121022200
4130110013230321330
5444230444144312
621544443311500
72124253402146
oct342407547174
986423317280
1030402334332
1111991363847
125a8581b590
132b36843056
141685a59c96
15bce0ee0dc
hex7141ece7c

30402334332 has 36 divisors (see below), whose sum is σ = 77932750896. Its totient is φ = 9991376640.

The previous prime is 30402334331. The next prime is 30402334343. The reversal of 30402334332 is 23343320403.

30402334332 is a `hidden beast` number, since 304 + 0 + 23 + 3 + 4 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 30402334296 and 30402334305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30402334331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5944693 + ... + 5949804.

It is an arithmetic number, because the mean of its divisors is an integer number (2164798636).

Almost surely, 230402334332 is an apocalyptic number.

It is an amenable number.

30402334332 is an abundant number, since it is smaller than the sum of its proper divisors (47530416564).

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

30402334332 is a wasteful number, since it uses less digits than its factorization.

30402334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894578 (or 11894573 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 30402334332 its reverse (23343320403), we get a palindrome (53745654735).

The spelling of 30402334332 in words is "thirty billion, four hundred two million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 11894497 23788994 35683491 47577988 71366982 107050473 142733964 214100946 428201892 844509287 1689018574 2533527861 3378037148 5067055722 7600583583 10134111444 15201167166 30402334332