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33968729 is a prime number
BaseRepresentation
bin1000000110010…
…1001001011001
32100220210100002
42001211021121
532143444404
63212022345
7561505124
oct201451131
970823302
1033968729
11181a1233
12b4619b5
137064552
1447233bb
152eaec1e
hex2065259

33968729 has 2 divisors, whose sum is σ = 33968730. Its totient is φ = 33968728.

The previous prime is 33968699. The next prime is 33968747. The reversal of 33968729 is 92786933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 7425625 = 5152^2 + 2725^2 .

It is a cyclic number.

It is not a de Polignac number, because 33968729 - 212 = 33964633 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33961729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16984364 + 16984365.

It is an arithmetic number, because the mean of its divisors is an integer number (16984365).

Almost surely, 233968729 is an apocalyptic number.

It is an amenable number.

33968729 is a deficient number, since it is larger than the sum of its proper divisors (1).

33968729 is an equidigital number, since it uses as much as digits as its factorization.

33968729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 489888, while the sum is 47.

The square root of 33968729 is about 5828.2698118738. The cubic root of 33968729 is about 323.8618301525.

The spelling of 33968729 in words is "thirty-three million, nine hundred sixty-eight thousand, seven hundred twenty-nine".