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335213361 = 32721761733
BaseRepresentation
bin10011111110101…
…111001100110001
3212100202121021200
4103332233030301
51141303311421
653132441413
711210160300
oct2376571461
9770677250
10335213361
1116224583a
1294319269
13545a9a02
143273c437
151e667726
hex13faf331

335213361 has 72 divisors (see below), whose sum is σ = 606985704. Its totient is φ = 177085440.

The previous prime is 335213357. The next prime is 335213363. The reversal of 335213361 is 163312533.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93721761 + 241491600 = 9681^2 + 15540^2 .

It is not a de Polignac number, because 335213361 - 22 = 335213357 is a prime.

It is a super-2 number, since 2×3352133612 = 224735994785832642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335213363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456951 + ... + 457683.

It is an arithmetic number, because the mean of its divisors is an integer number (8430357).

Almost surely, 2335213361 is an apocalyptic number.

It is an amenable number.

335213361 is a deficient number, since it is larger than the sum of its proper divisors (271772343).

335213361 is a wasteful number, since it uses less digits than its factorization.

335213361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 335213361 is about 18308.8328683180. The cubic root of 335213361 is about 694.6623696914.

Adding to 335213361 its reverse (163312533), we get a palindrome (498525894).

The spelling of 335213361 in words is "three hundred thirty-five million, two hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 3 7 9 17 21 49 51 61 63 119 147 153 183 357 427 441 549 733 833 1037 1071 1281 2199 2499 2989 3111 3843 5131 6597 7259 7497 8967 9333 12461 15393 21777 26901 35917 37383 44713 46179 50813 65331 87227 107751 112149 134139 152439 261681 312991 323253 402417 457317 610589 760121 785043 938973 1831767 2190937 2280363 2816919 5320847 5495301 6572811 6841089 15962541 19718433 37245929 47887623 111737787 335213361