Search a number
-
+
432340241004 = 22327471031512347
BaseRepresentation
bin1100100101010010111…
…11001000101001101100
31112022221112102211111200
412102221133020221230
524040413100203004
6530340411445500
743143536261640
oct6225137105154
91468845384450
10432340241004
11157399882101
126b959a56890
1331a007c7a19
1416cd5352c20
15b3a5be2239
hex64a97c8a6c

432340241004 has 288 divisors, whose sum is σ = 1297022877696. Its totient is φ = 118880265600.

The previous prime is 432340240993. The next prime is 432340241027. The reversal of 432340241004 is 400142043234.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 184208559 + ... + 184210905.

Almost surely, 2432340241004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432340241004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648511438848).

432340241004 is an abundant number, since it is smaller than the sum of its proper divisors (864682636692).

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

432340241004 is a wasteful number, since it uses less digits than its factorization.

432340241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 432340241004 its reverse (400142043234), we get a palindrome (832482284238).

The spelling of 432340241004 in words is "four hundred thirty-two billion, three hundred forty million, two hundred forty-one thousand, four".