Search a number
-
+
3214004024 = 2371110095171
BaseRepresentation
bin1011111110010001…
…1100111100111000
322021222201022200002
42333210130330320
523040241112044
61250531132132
7142434404060
oct27744347470
98258638602
103214004024
1113aa248880
12758444048
133c2b32a3a
14226bd23a0
1513c26774e
hexbf91cf38

3214004024 has 64 divisors (see below), whose sum is σ = 7522156800. Its totient is φ = 1250726400.

The previous prime is 3214004023. The next prime is 3214004029. The reversal of 3214004024 is 4204004123.

It is a junction number, because it is equal to n+sod(n) for n = 3214003987 and 3214004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214004023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618959 + ... + 624129.

It is an arithmetic number, because the mean of its divisors is an integer number (117533700).

Almost surely, 23214004024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761078400).

3214004024 is an abundant number, since it is smaller than the sum of its proper divisors (4308152776).

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

3214004024 is a wasteful number, since it uses less digits than its factorization.

3214004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3214004024 is about 56692.1866221440. The cubic root of 3214004024 is about 1475.7591073344.

Adding to 3214004024 its reverse (4204004123), we get a palindrome (7418008147).

Subtracting 3214004024 from its reverse (4204004123), we obtain a palindrome (990000099).

The spelling of 3214004024 in words is "three billion, two hundred fourteen million, four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1009 2018 4036 5171 7063 8072 10342 11099 14126 20684 22198 28252 36197 41368 44396 56504 56881 72394 77693 88792 113762 144788 155386 227524 289576 310772 398167 455048 621544 796334 1592668 3185336 5217539 10435078 20870156 36522773 41740312 57392929 73045546 114785858 146091092 229571716 292182184 401750503 459143432 803501006 1607002012 3214004024