Search a number
-
+
332134410330 = 232527113617647
BaseRepresentation
bin1001101010101001100…
…00001110100001011010
31011202022000111012122200
410311110300032201122
520420202402112310
6412325213031030
732665412623002
oct4652460164132
91152260435580
10332134410330
11118948241408
1254453185476
132542146c0a8
141210ac33002
15898d89a9c0
hex4d54c0e85a

332134410330 has 48 divisors (see below), whose sum is σ = 866736059904. Its totient is φ = 88242346080.

The previous prime is 332134410313. The next prime is 332134410331. The reversal of 332134410330 is 33014431233.

332134410330 is a `hidden beast` number, since 3 + 3 + 213 + 4 + 410 + 3 + 30 = 666.

It is a super-2 number, since 2×3321344103302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332134410294 and 332134410303.

It is not an unprimeable number, because it can be changed into a prime (332134410331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6784434 + ... + 6833213.

It is an arithmetic number, because the mean of its divisors is an integer number (18057001248).

Almost surely, 2332134410330 is an apocalyptic number.

332134410330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332134410330 is an abundant number, since it is smaller than the sum of its proper divisors (534601649574).

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

332134410330 is a wasteful number, since it uses less digits than its factorization.

332134410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13617931 (or 13617928 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332134410330 its reverse (33014431233), we get a palindrome (365148841563).

The spelling of 332134410330 in words is "three hundred thirty-two billion, one hundred thirty-four million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 8130 12195 24390 13617647 27235294 40852941 68088235 81705882 122558823 136176470 204264705 245117646 408529410 612794115 1225588230 3690382337 7380764674 11071147011 18451911685 22142294022 33213441033 36903823370 55355735055 66426882066 110711470110 166067205165 332134410330