Search a number
-
+
338473156440 = 233541475924809
BaseRepresentation
bin1001110110011101001…
…00100111111101011000
31012100122202221212122010
410323032210213331120
521021143112001230
6415254210225520
733311452234236
oct4731644477530
91170582855563
10338473156440
11120600300161
1255721b852a0
1325bc1780833
141254ca1d956
158c100e79b0
hex4ece927f58

338473156440 has 256 divisors, whose sum is σ = 1080366336000. Its totient is φ = 84720312320.

The previous prime is 338473156433. The next prime is 338473156451. The reversal of 338473156440 is 44651374833.

It is a super-2 number, since 2×3384731564402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338473156440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13630756 + ... + 13655564.

It is an arithmetic number, because the mean of its divisors is an integer number (4220181000).

Almost surely, 2338473156440 is an apocalyptic number.

338473156440 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 338473156440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540183168000).

338473156440 is an abundant number, since it is smaller than the sum of its proper divisors (741893179560).

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

338473156440 is a wasteful number, since it uses less digits than its factorization.

338473156440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24970 (or 24966 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 338473156440 in words is "three hundred thirty-eight billion, four hundred seventy-three million, one hundred fifty-six thousand, four hundred forty".