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33413341 = 1373137257
BaseRepresentation
bin111111101110…
…1100011011101
32022212120111011
41333131203131
532023211331
63152055221
7554002663
oct177354335
968776434
1033413341
1117951a35
12b234511
136bcb810
14461ac33
152e003b1
hex1fdd8dd

33413341 has 16 divisors (see below), whose sum is σ = 36885744. Its totient is φ = 30081024.

The previous prime is 33413339. The next prime is 33413351. The reversal of 33413341 is 14331433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1490841 + 31922500 = 1221^2 + 5650^2 .

It is a cyclic number.

It is not a de Polignac number, because 33413341 - 21 = 33413339 is a prime.

It is a super-2 number, since 2×334133412 = 2232902713564562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129885 + ... + 130141.

It is an arithmetic number, because the mean of its divisors is an integer number (2305359).

Almost surely, 233413341 is an apocalyptic number.

It is an amenable number.

33413341 is a deficient number, since it is larger than the sum of its proper divisors (3472403).

33413341 is a wasteful number, since it uses less digits than its factorization.

33413341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its digits is 1296, while the sum is 22.

The square root of 33413341 is about 5780.4274063429. The cubic root of 33413341 is about 322.0870776418.

Adding to 33413341 its reverse (14331433), we get a palindrome (47744774).

The spelling of 33413341 in words is "thirty-three million, four hundred thirteen thousand, three hundred forty-one".

Divisors: 1 13 73 137 257 949 1781 3341 10001 18761 35209 130013 243893 457717 2570257 33413341