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3311420 = 2257231109
BaseRepresentation
bin1100101000011100111100
320020020102012
430220130330
51321431140
6154550352
740101200
oct14503474
96206365
103311420
111961a12
1211383b8
138bc328
14622b00
15456265
hex32873c

3311420 has 72 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 1088640.

The previous prime is 3311419. The next prime is 3311431. The reversal of 3311420 is 241133.

3311420 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 3311395 and 3311404.

It is a congruent number.

It is an unprimeable number.

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, 30326 + ... + 30434.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

Almost surely, 23311420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213440).

3311420 is an abundant number, since it is smaller than the sum of its proper divisors (5115460).

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

3311420 is a wasteful number, since it uses less digits than its factorization.

3311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3311420 is about 1819.7307493143. The cubic root of 3311420 is about 149.0520965524.

Adding to 3311420 its reverse (241133), we get a palindrome (3552553).

The spelling of 3311420 in words is "three million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 109 124 140 155 196 217 218 245 310 434 436 490 545 620 763 868 980 1085 1090 1519 1526 2170 2180 3038 3052 3379 3815 4340 5341 6076 6758 7595 7630 10682 13516 15190 15260 16895 21364 23653 26705 30380 33790 47306 53410 67580 94612 106820 118265 165571 236530 331142 473060 662284 827855 1655710 3311420