Search a number
-
+
3218130 = 234529137
BaseRepresentation
bin1100010001101011010010
320001111110000
430101223102
51310440010
6152550430
736232206
oct14215322
96044400
103218130
1118a8913
1210b2416
13888a26
145dab06
154387c0
hex311ad2

3218130 has 80 divisors (see below), whose sum is σ = 9016920. Its totient is φ = 822528.

The previous prime is 3218123. The next prime is 3218143. The reversal of 3218130 is 318123.

It can be written as a sum of positive squares in 4 ways, for example, as 2712609 + 505521 = 1647^2 + 711^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23422 + ... + 23558.

Almost surely, 23218130 is an apocalyptic number.

3218130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508460).

3218130 is an abundant number, since it is smaller than the sum of its proper divisors (5798790).

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

3218130 is a wasteful number, since it uses less digits than its factorization.

3218130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3218130 is about 1793.9147136918. The cubic root of 3218130 is about 147.6390338960.

The spelling of 3218130 in words is "three million, two hundred eighteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 137 145 162 174 261 270 274 290 405 411 435 522 685 783 810 822 870 1233 1305 1370 1566 2055 2349 2466 2610 3699 3915 3973 4110 4698 6165 7398 7830 7946 11097 11745 11919 12330 18495 19865 22194 23490 23838 35757 36990 39730 55485 59595 71514 107271 110970 119190 178785 214542 321813 357570 536355 643626 1072710 1609065 3218130