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33141006 = 2325334739
BaseRepresentation
bin111111001101…
…1000100001110
32022100201220200
41332123010032
531441003011
63142154330
7551460003
oct176330416
968321820
1033141006
1117786368
12b1229a6
136b34882
1445898aa
152d99856
hex1f9b10e

33141006 has 24 divisors (see below), whose sum is σ = 73162440. Its totient is φ = 10838256.

The previous prime is 33141001. The next prime is 33141013. The reversal of 33141006 is 60014133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 33141006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33141001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16416 + ... + 18323.

It is an arithmetic number, because the mean of its divisors is an integer number (3048435).

Almost surely, 233141006 is an apocalyptic number.

33141006 is an abundant number, since it is smaller than the sum of its proper divisors (40021434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33141006 is a wasteful number, since it uses less digits than its factorization.

33141006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34800 (or 34797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33141006 is about 5756.8225611009. The cubic root of 33141006 is about 321.2096339335.

Adding to 33141006 its reverse (60014133), we get a palindrome (93155139).

The spelling of 33141006 in words is "thirty-three million, one hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 34739 69478 104217 208434 312651 625302 1841167 3682334 5523501 11047002 16570503 33141006