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3342405 = 351147431

3342405 has 32 divisors (see below), whose sum is σ = 5971968. Its totient is φ = 1582400.

The previous prime is 3342379. The next prime is 3342413. The reversal of 3342405 is 5042433.

It is a happy number.

3342405 is a nontrivial binomial coefficient, being equal to C(2586, 2).

It is not a de Polignac number, because 3342405 - 26 = 3342341 is a prime.

It is a super-2 number, since 2×33424052 = 22343342368050, which contains 22 as substring.

3342405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7540 + ... + 7970.

It is an arithmetic number, because the mean of its divisors is an integer number (186624).

Almost surely, 23342405 is an apocalyptic number.

3342405 is the 2585-th triangular number and also the 1293-rd hexagonal number.

It is an amenable number.

3342405 is a deficient number, since it is larger than the sum of its proper divisors (2629563).

3342405 is a wasteful number, since it uses less digits than its factorization.

3342405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3342405 is about 1828.2245485716. The cubic root of 3342405 is about 149.5155481717.

Adding to 3342405 its reverse (5042433), we get a palindrome (8384838).

The spelling of 3342405 in words is "three million, three hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 431 517 705 1293 1551 2155 2585 4741 6465 7755 14223 20257 23705 60771 71115 101285 222827 303855 668481 1114135 3342405