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3416660 = 2251317773
BaseRepresentation
bin1101000010001001010100
320102120202222
431002021110
51333313120
6201121512
741020052
oct15021124
96376688
103416660
111a23a95
121189298
139281c0
1464d1d2
15477525
hex342254

3416660 has 48 divisors (see below), whose sum is σ = 8192016. Its totient is φ = 1185792.

The previous prime is 3416641. The next prime is 3416663. The reversal of 3416660 is 666143.

It can be written as a sum of positive squares in 8 ways, for example, as 478864 + 2937796 = 692^2 + 1714^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416663) 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, 4034 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (170667).

Almost surely, 23416660 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 3416660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096008).

3416660 is an abundant number, since it is smaller than the sum of its proper divisors (4775356).

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

3416660 is a wasteful number, since it uses less digits than its factorization.

3416660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3416660 is about 1848.4209477281. The cubic root of 3416660 is about 150.6146630074.

The spelling of 3416660 in words is "three million, four hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 773 884 1105 1546 2210 3092 3865 4420 7730 10049 13141 15460 20098 26282 40196 50245 52564 65705 100490 131410 170833 200980 262820 341666 683332 854165 1708330 3416660