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3406664 = 231737677
BaseRepresentation
bin1100111111101101001000
320102002001202
430333231020
51333003124
6201003332
740645652
oct14775510
96362052
103406664
111a17528
121183548
139237a1
146496d2
154745ae
hex33fb48

3406664 has 32 divisors (see below), whose sum is σ = 6956280. Its totient is φ = 1557504.

The previous prime is 3406661. The next prime is 3406679. The reversal of 3406664 is 4666043.

It can be written as a sum of positive squares in 4 ways, for example, as 3034564 + 372100 = 1742^2 + 610^2 .

It is not an unprimeable number, because it can be changed into a prime (3406661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4694 + ... + 5370.

Almost surely, 23406664 is an apocalyptic number.

3406664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3406664 is an abundant number, since it is smaller than the sum of its proper divisors (3549616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3406664 is a wasteful number, since it uses less digits than its factorization.

3406664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3406664 is about 1845.7150375938. The cubic root of 3406664 is about 150.4676368862.

The spelling of 3406664 in words is "three million, four hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 677 1258 1354 2516 2708 5032 5416 11509 23018 25049 46036 50098 92072 100196 200392 425833 851666 1703332 3406664