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3311406 = 232741641
BaseRepresentation
bin1100101000011100101110
320020020101200
430220130232
51321431111
6154550330
740101150
oct14503456
96206350
103311406
1119619aa
1211383a6
138bc317
14622ad0
15456256
hex32872e

3311406 has 48 divisors (see below), whose sum is σ = 8412768. Its totient is φ = 921600.

The previous prime is 3311401. The next prime is 3311411. The reversal of 3311406 is 6041133.

3311406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3311401) and next prime (3311411).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4846 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (175266).

Almost surely, 23311406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206384).

3311406 is an abundant number, since it is smaller than the sum of its proper divisors (5101362).

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

3311406 is a wasteful number, since it uses less digits than its factorization.

3311406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3311406 is about 1819.7269025873. The cubic root of 3311406 is about 149.0518864983.

Adding to 3311406 its reverse (6041133), we get a palindrome (9352539).

The spelling of 3311406 in words is "three million, three hundred eleven thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 641 738 861 1282 1722 1923 2583 3846 4487 5166 5769 8974 11538 13461 26281 26922 40383 52562 78843 80766 157686 183967 236529 367934 473058 551901 1103802 1655703 3311406