Search a number
-
+
338249844 = 22341043981
BaseRepresentation
bin10100001010010…
…100100001110100
3212120110212120000
4110022110201310
51143042443334
653321511300
711245035102
oct2412244164
9776425500
10338249844
11163a2a129
1295342530
1355100b4a
1432cccc72
151ea67299
hex14294874

338249844 has 30 divisors (see below), whose sum is σ = 884252754. Its totient is φ = 112749840.

The previous prime is 338249839. The next prime is 338249851. The reversal of 338249844 is 448942833.

338249844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 277222500 + 61027344 = 16650^2 + 7812^2 .

It is a super-2 number, since 2×3382498442 = 228825913932048672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338249844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 521667 + ... + 522314.

Almost surely, 2338249844 is an apocalyptic number.

It is an amenable number.

338249844 is an abundant number, since it is smaller than the sum of its proper divisors (546002910).

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

338249844 is a wasteful number, since it uses less digits than its factorization.

338249844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043997 (or 1043986 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 338249844 is about 18391.5699166765. The cubic root of 338249844 is about 696.7535684680.

The spelling of 338249844 in words is "three hundred thirty-eight million, two hundred forty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1043981 2087962 3131943 4175924 6263886 9395829 12527772 18791658 28187487 37583316 56374974 84562461 112749948 169124922 338249844