Search a number
-
+
33900471 = 3311114143
BaseRepresentation
bin1000000101010…
…0011110110111
32100210022201000
42001110132313
532134303341
63210334343
7561102123
oct201243667
970708630
1033900471
1118154a20
12b42a3b3
13703c467
144706583
152e998b6
hex20547b7

33900471 has 16 divisors (see below), whose sum is σ = 54789120. Its totient is φ = 20545560.

The previous prime is 33900467. The next prime is 33900487. The reversal of 33900471 is 17400933.

33900471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33900471 - 22 = 33900467 is a prime.

It is a super-3 number, since 3×339004713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33900371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56775 + ... + 57368.

It is an arithmetic number, because the mean of its divisors is an integer number (3424320).

Almost surely, 233900471 is an apocalyptic number.

33900471 is a deficient number, since it is larger than the sum of its proper divisors (20888649).

33900471 is a wasteful number, since it uses less digits than its factorization.

33900471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114163 (or 114157 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 33900471 is about 5822.4110985055. The cubic root of 33900471 is about 323.6447581083.

The spelling of 33900471 in words is "thirty-three million, nine hundred thousand, four hundred seventy-one".

Divisors: 1 3 9 11 27 33 99 297 114143 342429 1027287 1255573 3081861 3766719 11300157 33900471