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336764313 = 32214117477
BaseRepresentation
bin10100000100101…
…001110110011001
3212110200101210100
4110010221312121
51142202424223
653230010013
711226310104
oct2404516631
9773611710
10336764313
11163105016
1294946909
1354a00932
1432a2373b
151e872043
hex14129d99

336764313 has 12 divisors (see below), whose sum is σ = 486692388. Its totient is φ = 224391840.

The previous prime is 336764291. The next prime is 336764333. The reversal of 336764313 is 313467633.

336764313 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 643 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180714249 + 156050064 = 13443^2 + 12492^2 .

It is not a de Polignac number, because 336764313 - 216 = 336698777 is a prime.

It is a super-2 number, since 2×3367643132 = 226820405020723938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336764333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10531 + ... + 28007.

It is an arithmetic number, because the mean of its divisors is an integer number (40557699).

Almost surely, 2336764313 is an apocalyptic number.

It is an amenable number.

336764313 is a deficient number, since it is larger than the sum of its proper divisors (149928075).

336764313 is a wasteful number, since it uses less digits than its factorization.

336764313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624 (or 19621 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 336764313 is about 18351.1392834341. The cubic root of 336764313 is about 695.7320671529.

The spelling of 336764313 in words is "three hundred thirty-six million, seven hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 3 9 2141 6423 17477 19269 52431 157293 37418257 112254771 336764313