Search a number
-
+
3416780 = 2252943137
BaseRepresentation
bin1101000010001011001100
320102120221102
431002023030
51333314110
6201122232
741020313
oct15021314
96376842
103416780
111a24094
121189378
13928283
1464d27a
154775a5
hex3422cc

3416780 has 48 divisors (see below), whose sum is σ = 7650720. Its totient is φ = 1279488.

The previous prime is 3416773. The next prime is 3416783. The reversal of 3416780 is 876143.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3416783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24872 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (159390).

Almost surely, 23416780 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 3416780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825360).

3416780 is an abundant number, since it is smaller than the sum of its proper divisors (4233940).

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

3416780 is a wasteful number, since it uses less digits than its factorization.

3416780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3416780 is about 1848.4534075816. The cubic root of 3416780 is about 150.6164262838.

The spelling of 3416780 in words is "three million, four hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 137 145 172 215 274 290 430 548 580 685 860 1247 1370 2494 2740 3973 4988 5891 6235 7946 11782 12470 15892 19865 23564 24940 29455 39730 58910 79460 117820 170839 341678 683356 854195 1708390 3416780