Search a number
-
+
33980351 is a prime number
BaseRepresentation
bin1000000110011…
…1111110111111
32100221101021112
42001213332333
532144332401
63212152235
7561554036
oct201477677
970841245
1033980351
11181a9a39
12b46867b
137069922
14472771d
152eb33bb
hex2067fbf

33980351 has 2 divisors, whose sum is σ = 33980352. Its totient is φ = 33980350.

The previous prime is 33980347. The next prime is 33980383. The reversal of 33980351 is 15308933.

It is an a-pointer prime, because the next prime (33980383) can be obtained adding 33980351 to its sum of digits (32).

It is a weak prime.

It is an emirp because it is prime and its reverse (15308933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33980351 - 22 = 33980347 is a prime.

It is a Chen prime.

It is equal to p2088239 and since 33980351 and 2088239 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33980651) 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 as a sum of consecutive naturals, namely, 16990175 + 16990176.

It is an arithmetic number, because the mean of its divisors is an integer number (16990176).

Almost surely, 233980351 is an apocalyptic number.

33980351 is a deficient number, since it is larger than the sum of its proper divisors (1).

33980351 is an equidigital number, since it uses as much as digits as its factorization.

33980351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 33980351 is about 5829.2667634961. The cubic root of 33980351 is about 323.8987611095.

The spelling of 33980351 in words is "thirty-three million, nine hundred eighty thousand, three hundred fifty-one".