Search a number
-
+
3313440 = 253351359
BaseRepresentation
bin1100101000111100100000
320020100012000
430220330200
51322012230
6155004000
740110114
oct14507440
96210160
103313440
111963489
121139600
138c0220
14623744
15456b60
hex328f20

3313440 has 192 divisors, whose sum is σ = 12700800. Its totient is φ = 801792.

The previous prime is 3313439. The next prime is 3313477. The reversal of 3313440 is 443133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56131 + ... + 56189.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

Almost surely, 23313440 is an apocalyptic number.

3313440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

3313440 is an abundant number, since it is smaller than the sum of its proper divisors (9387360).

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

3313440 is a wasteful number, since it uses less digits than its factorization.

3313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3313440 is about 1820.2856918627. The cubic root of 3313440 is about 149.0823981585.

Adding to 3313440 its reverse (443133), we get a palindrome (3756573).

The spelling of 3313440 in words is "three million, three hundred thirteen thousand, four hundred forty".