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3334133412 = 2232269344293
BaseRepresentation
bin1100011010111010…
…1101011010100100
322121100202112012200
43012232231122210
523312014232122
61310502014500
7145423444401
oct30656553244
98540675180
103334133412
111461038865
12790717430
134119a380c
14238b432a8
15147a965ac
hexc6bad6a4

3334133412 has 36 divisors (see below), whose sum is σ = 8459303580. Its totient is φ = 1107243072.

The previous prime is 3334133399. The next prime is 3334133417. The reversal of 3334133412 is 2143314333.

It can be written as a sum of positive squares in 2 ways, for example, as 656691876 + 2677441536 = 25626^2 + 51744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33341334122 = 22232891218029523488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3334133417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162463 + ... + 181830.

It is an arithmetic number, because the mean of its divisors is an integer number (234980655).

Almost surely, 23334133412 is an apocalyptic number.

It is an amenable number.

3334133412 is an abundant number, since it is smaller than the sum of its proper divisors (5125170168).

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

3334133412 is a wasteful number, since it uses less digits than its factorization.

3334133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344572 (or 344567 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3334133412 is about 57741.9553877421. The cubic root of 3334133412 is about 1493.9210885026.

Adding to 3334133412 its reverse (2143314333), we get a palindrome (5477447745).

The spelling of 3334133412 in words is "three billion, three hundred thirty-four million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 344293 688586 1032879 1377172 2065758 3098637 4131516 6197274 12394548 92614817 185229634 277844451 370459268 555688902 833533353 1111377804 1667066706 3334133412