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3843504016 = 2411214092
BaseRepresentation
bin1110010100010111…
…0011011110010000
3100220212020020022121
43211011303132100
530332414112031
61433215344024
7164150150032
oct34505633620
910825206277
103843504016
1116a2615500
128b3222014
13493389b41
14286657c52
15177661011
hexe5173790

3843504016 has 45 divisors (see below), whose sum is σ = 8191126993. Its totient is φ = 1745807360.

The previous prime is 3843504013. The next prime is 3843504017. The reversal of 3843504016 is 6104053483.

It is a happy number.

The square root of 3843504016 is 61996.

It is a perfect power (a square), and thus also a powerful number.

3843504016 is digitally balanced in base 2, 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., 48944016 + 3794560000 = 6996^2 + 61600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3843504013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2727120 + ... + 2728528.

Almost surely, 23843504016 is an apocalyptic number.

3843504016 is the 61996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3843504016

3843504016 is an abundant number, since it is smaller than the sum of its proper divisors (4347622977).

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

3843504016 is an equidigital number, since it uses as much as digits as its factorization.

3843504016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The cubic root of 3843504016 is about 1566.4232227336.

Adding to 3843504016 its reverse (6104053483), we get a palindrome (9947557499).

The spelling of 3843504016 in words is "three billion, eight hundred forty-three million, five hundred four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1409 1936 2818 5636 11272 15499 22544 30998 61996 123992 170489 247984 340978 681956 1363912 1985281 2727824 3970562 7941124 15882248 21838091 31764496 43676182 87352364 174704728 240219001 349409456 480438002 960876004 1921752008 3843504016