Search a number
-
+
33928337 is a prime number
BaseRepresentation
bin1000000101101…
…1010010010001
32100211201221002
42001123102101
532141201322
63211111345
7561246302
oct201332221
970751832
1033928337
1118173953
12b442555
13704c051
1447127a9
152ea2c92
hex205b491

33928337 has 2 divisors, whose sum is σ = 33928338. Its totient is φ = 33928336.

The previous prime is 33928327. The next prime is 33928397. The reversal of 33928337 is 73382933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31764496 + 2163841 = 5636^2 + 1471^2 .

It is a cyclic number.

It is not a de Polignac number, because 33928337 - 220 = 32879761 is a prime.

It is a super-2 number, since 2×339283372 = 2302264103171138, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33928337.

It is not a weakly prime, because it can be changed into another prime (33928327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16964168 + 16964169.

It is an arithmetic number, because the mean of its divisors is an integer number (16964169).

Almost surely, 233928337 is an apocalyptic number.

It is an amenable number.

33928337 is a deficient number, since it is larger than the sum of its proper divisors (1).

33928337 is an equidigital number, since it uses as much as digits as its factorization.

33928337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 81648, while the sum is 38.

The square root of 33928337 is about 5824.8036018393. The cubic root of 33928337 is about 323.7334118899.

The spelling of 33928337 in words is "thirty-three million, nine hundred twenty-eight thousand, three hundred thirty-seven".