Search a number
-
+
335606340000 = 25354231571549
BaseRepresentation
bin1001110001000111011…
…00100101100110100000
31012002020222112111210110
410320203230211212200
520444310210340000
6414101520331320
733150431551641
oct4704354454640
91162228474713
10335606340000
1111a36a036578
1255061a73b40
132585585ab49
1412359da56c8
158ae35b0850
hex4e23b259a0

335606340000 has 480 divisors, whose sum is σ = 1156782211200. Its totient is φ = 85003776000.

The previous prime is 335606339969. The next prime is 335606340037. The reversal of 335606340000 is 43606533.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3356063400002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 335606340000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 216659226 + ... + 216660774.

It is an arithmetic number, because the mean of its divisors is an integer number (2409962940).

Almost surely, 2335606340000 is an apocalyptic number.

335606340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335606340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578391105600).

335606340000 is an abundant number, since it is smaller than the sum of its proper divisors (821175871200).

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

335606340000 is a wasteful number, since it uses less digits than its factorization.

335606340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 335606340000 its reverse (43606533), we get a palindrome (335649946533).

The spelling of 335606340000 in words is "three hundred thirty-five billion, six hundred six million, three hundred forty thousand".