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3405415041 = 34759101797
BaseRepresentation
bin1100101011111010…
…1000001010000001
322210022220000020000
43022332220022001
523433241240131
61321525510213
7150250356510
oct31276501201
98708800200
103405415041
1114982a47a6
127b0572369
134236a07b2
142443ba677
1514de76ce6
hexcafa8281

3405415041 has 40 divisors (see below), whose sum is σ = 5912427840. Its totient is φ = 1912950432.

The previous prime is 3405415037. The next prime is 3405415043. The reversal of 3405415041 is 1405145043.

It is a happy number.

3405415041 is a `hidden beast` number, since 34 + 0 + 541 + 50 + 41 = 666.

It is not a de Polignac number, because 3405415041 - 22 = 3405415037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3405414996 and 3405415014.

It is not an unprimeable number, because it can be changed into a prime (3405415043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17446 + ... + 84351.

It is an arithmetic number, because the mean of its divisors is an integer number (147810696).

Almost surely, 23405415041 is an apocalyptic number.

It is an amenable number.

3405415041 is a deficient number, since it is larger than the sum of its proper divisors (2507012799).

3405415041 is a wasteful number, since it uses less digits than its factorization.

3405415041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101875 (or 101866 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3405415041 is about 58355.9340684390. The cubic root of 3405415041 is about 1504.4924637474.

The spelling of 3405415041 in words is "three billion, four hundred five million, four hundred fifteen thousand, forty-one".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 413 531 567 1239 1593 3717 4779 11151 33453 101797 305391 712579 916173 2137737 2748519 6006023 6413211 8245557 18018069 19239633 42042161 54054207 57718899 126126483 162162621 378379449 486487863 1135138347 3405415041