Search a number
-
+
338318012160 = 28325535471013
BaseRepresentation
bin1001110110001010101…
…00110010111100000000
31012100020222000201200200
410323011110302330000
521020333402342120
6415230545045200
733304556440452
oct4730524627400
91170228021620
10338318012160
11120530774a47
125569a026800
1325b985a029b
14125361962d2
158c0169de90
hex4ec5532f00

338318012160 has 432 divisors, whose sum is σ = 1195990627104. Its totient is φ = 88266866688.

The previous prime is 338318012159. The next prime is 338318012161. The reversal of 338318012160 is 61210813833.

338318012160 is a `hidden beast` number, since 338 + 31 + 80 + 1 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (338318012159) and next prime (338318012161).

It is a super-2 number, since 2×3383180121602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338318012161) 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 47 ways as a sum of consecutive naturals, for example, 333975814 + ... + 333976826.

It is an arithmetic number, because the mean of its divisors is an integer number (2768496822).

Almost surely, 2338318012160 is an apocalyptic number.

338318012160 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 338318012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597995313552).

338318012160 is an abundant number, since it is smaller than the sum of its proper divisors (857672614944).

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

338318012160 is a wasteful number, since it uses less digits than its factorization.

338318012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 338318012160 its reverse (61210813833), we get a palindrome (399528825993).

The spelling of 338318012160 in words is "three hundred thirty-eight billion, three hundred eighteen million, twelve thousand, one hundred sixty".