Search a number
-
+
3836304864 = 2532721715991
BaseRepresentation
bin1110010010101001…
…0101110111100000
3100220100200110221100
43210222111313200
530324043223424
61432401154400
7164032024200
oct34452256740
910810613840
103836304864
111699548697
128b092ba00
13491a390a2
14285702400
15176bdcdc9
hexe4a95de0

3836304864 has 216 divisors, whose sum is σ = 13437981648. Its totient is φ = 1031546880.

The previous prime is 3836304863. The next prime is 3836304887. The reversal of 3836304864 is 4684036383.

3836304864 is a `hidden beast` number, since 3 + 8 + 3 + 630 + 4 + 8 + 6 + 4 = 666.

3836304864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836304863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231909 + ... + 247899.

It is an arithmetic number, because the mean of its divisors is an integer number (62212878).

Almost surely, 23836304864 is an apocalyptic number.

3836304864 is a gapful number since it is divisible by the number (34) 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 3836304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718990824).

3836304864 is an abundant number, since it is smaller than the sum of its proper divisors (9601676784).

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

3836304864 is a wasteful number, since it uses less digits than its factorization.

3836304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3836304864 is about 61937.9113629125. The cubic root of 3836304864 is about 1565.4446046996. Note that the first 3 decimals are identical.

The spelling of 3836304864 in words is "three billion, eight hundred thirty-six million, three hundred four thousand, eight hundred sixty-four".