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3406137 = 372172947
BaseRepresentation
bin1100111111100100111001
320102001100020
430333210321
51332444022
6201001053
740644300
oct14774471
96361306
103406137
111a17099
121183189
13923487
14649437
1547435c
hex33f939

3406137 has 48 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 1731072.

The previous prime is 3406099. The next prime is 3406147. The reversal of 3406137 is 7316043.

It is not a de Polignac number, because 3406137 - 27 = 3406009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72448 + ... + 72494.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 23406137 is an apocalyptic number.

It is an amenable number.

3406137 is a deficient number, since it is larger than the sum of its proper divisors (2503623).

3406137 is a wasteful number, since it uses less digits than its factorization.

3406137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3406137 is about 1845.5722689724. The cubic root of 3406137 is about 150.4598775324.

The spelling of 3406137 in words is "three million, four hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 7 17 21 29 47 49 51 87 119 141 147 203 329 357 493 609 799 833 987 1363 1421 1479 2303 2397 2499 3451 4089 4263 5593 6909 9541 10353 16779 23171 24157 28623 39151 66787 69513 72471 117453 162197 200361 486591 1135379 3406137