Search a number
-
+
33760381 is a prime number
BaseRepresentation
bin1000000011001…
…0010001111101
32100112012112111
42000302101331
532120313011
63203334021
7556646524
oct200622175
970465474
1033760381
1118069746
12b381311
136cc0775
1446ab4bb
152e6d121
hex203247d

33760381 has 2 divisors, whose sum is σ = 33760382. Its totient is φ = 33760380.

The previous prime is 33760373. The next prime is 33760421. The reversal of 33760381 is 18306733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19660356 + 14100025 = 4434^2 + 3755^2 .

It is an emirp because it is prime and its reverse (18306733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33760381 - 23 = 33760373 is a prime.

It is a super-2 number, since 2×337603812 = 2279526650530322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33760681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16880190 + 16880191.

It is an arithmetic number, because the mean of its divisors is an integer number (16880191).

Almost surely, 233760381 is an apocalyptic number.

It is an amenable number.

33760381 is a deficient number, since it is larger than the sum of its proper divisors (1).

33760381 is an equidigital number, since it uses as much as digits as its factorization.

33760381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 33760381 is about 5810.3684048432. The cubic root of 33760381 is about 323.1983337179.

The spelling of 33760381 in words is "thirty-three million, seven hundred sixty thousand, three hundred eighty-one".