Search a number
-
+
33406641 = 331237283
BaseRepresentation
bin111111101101…
…1111010110001
32022212020022000
41333123322301
532023003031
63152004213
7553644312
oct177337261
968766260
1033406641
11179479a4
12b230669
136bc8758
144618609
152ded3e6
hex1fdbeb1

33406641 has 8 divisors (see below), whose sum is σ = 49491360. Its totient is φ = 22271076.

The previous prime is 33406631. The next prime is 33406643. The reversal of 33406641 is 14660433.

It is a de Polignac number, because none of the positive numbers 2k-33406641 is a prime.

It is a super-2 number, since 2×334066412 = 2232007325805762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1237283 = 33406641 / (3 + 3 + 4 + 0 + 6 + 6 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (33406643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618615 + ... + 618668.

It is an arithmetic number, because the mean of its divisors is an integer number (6186420).

Almost surely, 233406641 is an apocalyptic number.

It is an amenable number.

33406641 is a deficient number, since it is larger than the sum of its proper divisors (16084719).

33406641 is a wasteful number, since it uses less digits than its factorization.

33406641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237292 (or 1237286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33406641 is about 5779.8478353673. The cubic root of 33406641 is about 322.0655480410.

The spelling of 33406641 in words is "thirty-three million, four hundred six thousand, six hundred forty-one".

Divisors: 1 3 9 27 1237283 3711849 11135547 33406641