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3413740 = 2251159263
BaseRepresentation
bin1101000001011011101100
320102102202211
431001123230
51333214430
6201100204
741005411
oct15013354
96372684
103413740
111a21880
121187664
13926a85
1464c108
1547672a
hex3416ec

3413740 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1215680.

The previous prime is 3413737. The next prime is 3413741. The reversal of 3413740 is 473143.

3413740 = T176 + T177 + ... + T295.

It is a happy number.

3413740 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 (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3413741) 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 15 ways as a sum of consecutive naturals, for example, 12849 + ... + 13111.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 23413740 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 3413740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

3413740 is an abundant number, since it is smaller than the sum of its proper divisors (4569620).

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

3413740 is a wasteful number, since it uses less digits than its factorization.

3413740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3413740 is about 1847.6309155240. The cubic root of 3413740 is about 150.5717438833.

Adding to 3413740 its reverse (473143), we get a palindrome (3886883).

The spelling of 3413740 in words is "three million, four hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 263 295 526 590 649 1052 1180 1298 1315 2596 2630 2893 3245 5260 5786 6490 11572 12980 14465 15517 28930 31034 57860 62068 77585 155170 170687 310340 341374 682748 853435 1706870 3413740