Search a number
-
+
33868971 = 3210333643
BaseRepresentation
bin1000000100110…
…0110010101011
32100201201111100
42001030302223
532132301341
63205532443
7560611233
oct201146253
970651440
1033868971
1118133294
12b414123
13702b016
1446d8cc3
152e903b6
hex204ccab

33868971 has 12 divisors (see below), whose sum is σ = 48982648. Its totient is φ = 22551264.

The previous prime is 33868951. The next prime is 33868973. The reversal of 33868971 is 17986833.

It is a happy number.

It is not a de Polignac number, because 33868971 - 211 = 33866923 is a prime.

It is a super-3 number, since 3×338689713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33868973) 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 in 11 ways as a sum of consecutive naturals, for example, 7476 + ... + 11118.

Almost surely, 233868971 is an apocalyptic number.

33868971 is a deficient number, since it is larger than the sum of its proper divisors (15113677).

33868971 is a wasteful number, since it uses less digits than its factorization.

33868971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4679 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 33868971 is about 5819.7054049153. The cubic root of 33868971 is about 323.5444844853.

The spelling of 33868971 in words is "thirty-three million, eight hundred sixty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 9 1033 3099 3643 9297 10929 32787 3763219 11289657 33868971