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3414 = 23569

3414 has 8 divisors (see below), whose sum is σ = 6840. Its totient is φ = 1136.

The previous prime is 3413. The next prime is 3433. The reversal of 3414 is 4143.

It is a sphenic number, since it is the product of 3 distinct primes.

3414 is an admirable number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413) 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 3 ways as a sum of consecutive naturals, for example, 279 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

23414 is an apocalyptic number.

3414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420).

3414 is a wasteful number, since it uses less digits than its factorization.

3414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its digits is 48, while the sum is 12.

The square root of 3414 is about 58.4294446320. The cubic root of 3414 is about 15.0575566441.

Adding to 3414 its reverse (4143), we get a palindrome (7557).

Subtracting 3414 from its reverse (4143), we obtain a 6-th power (729 = 36).

The spelling of 3414 in words is "three thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 569 1138 1707 3414