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33140341 = 134197641
BaseRepresentation
bin111111001101…
…0111001110101
32022100201000001
41332122321311
531440442331
63142151301
7551455033
oct176327165
968321001
1033140341
1117785913
12b122531
136b34490
144589553
152d99561
hex1f9ae75

33140341 has 16 divisors (see below), whose sum is σ = 36994608. Its totient is φ = 29491200.

The previous prime is 33140339. The next prime is 33140357. The reversal of 33140341 is 14304133.

33140341 = 3132 + 3142 + ... + 5062.

It can be written as a sum of positive squares in 8 ways, for example, as 2337841 + 30802500 = 1529^2 + 5550^2 .

It is a 9-Lehmer number, since φ(33140341) divides (33140341-1)9.

It is a cyclic number.

It is not a de Polignac number, because 33140341 - 21 = 33140339 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140441) 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, 51381 + ... + 52021.

It is an arithmetic number, because the mean of its divisors is an integer number (2312163).

Almost surely, 233140341 is an apocalyptic number.

It is an amenable number.

33140341 is a deficient number, since it is larger than the sum of its proper divisors (3854267).

33140341 is a wasteful number, since it uses less digits than its factorization.

33140341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 33140341 is about 5756.7648032554. The cubic root of 33140341 is about 321.2074854789.

Adding to 33140341 its reverse (14304133), we get a palindrome (47444474).

The spelling of 33140341 in words is "thirty-three million, one hundred forty thousand, three hundred forty-one".

Divisors: 1 13 41 97 533 641 1261 3977 8333 26281 51701 62177 341653 808301 2549257 33140341