3402 has 24 divisors (see below), whose sum is σ = 8736. Its totient is φ = 972.

The previous prime is 3391. The next prime is 3407. The reversal of 3402 is 2043.

Adding to 3402 its reverse (2043), we get a palindrome (5445).

3402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3407) by changing a digit.

3402 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

2^{3402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368).

3402 is an abundant number, since it is smaller than the sum of its proper divisors (5334).

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

3402 is an equidigital number, since it uses as much as digits as its factorization.

3402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3402 is about 58.3266662857. The cubic root of 3402 is about 15.0398938049.

The spelling of 3402 in words is "three thousand, four hundred two", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.075 sec. • engine limits •