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3415041 = 34719317
BaseRepresentation
bin1101000001110000000001
320102111120000
431001300001
51333240131
6201110213
741012250
oct15016001
96374500
103415041
111a22853
121188369
13927546
1464c797
15476ce6
hex341c01

3415041 has 40 divisors (see below), whose sum is σ = 6156480. Its totient is φ = 1842912.

The previous prime is 3415037. The next prime is 3415051. The reversal of 3415041 is 1405143.

It is a happy number.

It is not a de Polignac number, because 3415041 - 22 = 3415037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10615 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (153912).

Almost surely, 23415041 is an apocalyptic number.

It is an amenable number.

3415041 is a deficient number, since it is larger than the sum of its proper divisors (2741439).

3415041 is a wasteful number, since it uses less digits than its factorization.

3415041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3415041 is about 1847.9829544668. The cubic root of 3415041 is about 150.5908694326.

It can be divided in two parts, 34150 and 41, that added together give a triangular number (34191 = T261).

The spelling of 3415041 in words is "three million, four hundred fifteen thousand, forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 317 399 513 567 951 1197 1539 2219 2853 3591 6023 6657 8559 10773 18069 19971 25677 42161 54207 59913 126483 162621 179739 379449 487863 1138347 3415041