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33405141 = 3711144611
BaseRepresentation
bin111111101101…
…1100011010101
32022212011020110
41333123203111
532022431031
63151553233
7553640040
oct177334325
968764213
1033405141
1117946860
12b22b819
136bc7b73
144617c57
152decc46
hex1fdb8d5

33405141 has 16 divisors (see below), whose sum is σ = 55531008. Its totient is φ = 17353200.

The previous prime is 33405137. The next prime is 33405149. The reversal of 33405141 is 14150433.

It is not a de Polignac number, because 33405141 - 22 = 33405137 is a prime.

It is a super-2 number, since 2×334051412 = 2231806890459762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33405149) 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 in 15 ways as a sum of consecutive naturals, for example, 72075 + ... + 72536.

It is an arithmetic number, because the mean of its divisors is an integer number (3470688).

Almost surely, 233405141 is an apocalyptic number.

It is an amenable number.

33405141 is a deficient number, since it is larger than the sum of its proper divisors (22125867).

33405141 is a wasteful number, since it uses less digits than its factorization.

33405141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144632.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 33405141 is about 5779.7180727091. The cubic root of 33405141 is about 322.0607275868.

Adding to 33405141 its reverse (14150433), we get a palindrome (47555574).

The spelling of 33405141 in words is "thirty-three million, four hundred five thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 144611 433833 1012277 1590721 3036831 4772163 11135047 33405141