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3331024164 = 2232137397501
BaseRepresentation
bin1100011010001011…
…0110010100100100
322121010220120010100
43012202312110210
523310220233124
61310311224100
7145355144466
oct30642662444
98533816110
103331024164
11145a304836
1278b678030
13411155520
14238574136
151476801c9
hexc68b6524

3331024164 has 72 divisors (see below), whose sum is σ = 9192098552. Its totient is φ = 1010880000.

The previous prime is 3331024163. The next prime is 3331024171. The reversal of 3331024164 is 4614201333.

It can be written as a sum of positive squares in 4 ways, for example, as 353139264 + 2977884900 = 18792^2 + 54570^2 .

It is a super-3 number, since 3×33310241643 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3331024163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14587 + ... + 82914.

Almost surely, 23331024164 is an apocalyptic number.

It is an amenable number.

3331024164 is an abundant number, since it is smaller than the sum of its proper divisors (5861074388).

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

3331024164 is a wasteful number, since it uses less digits than its factorization.

3331024164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97597 (or 97592 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3331024164 is about 57715.0254613129. The cubic root of 3331024164 is about 1493.4565584213.

Adding to 3331024164 its reverse (4614201333), we get a palindrome (7945225497).

The spelling of 3331024164 in words is "three billion, three hundred thirty-one million, twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1898 2628 2847 3796 5694 8541 11388 17082 34164 97501 195002 292503 390004 585006 877509 1170012 1267513 1755018 2535026 3510036 3802539 5070052 7117573 7605078 11407617 14235146 15210156 21352719 22815234 28470292 42705438 45630468 64058157 85410876 92528449 128116314 185056898 256232628 277585347 370113796 555170694 832756041 1110341388 1665512082 3331024164