Search a number
-
+
3004820 = 2257132127
BaseRepresentation
bin1011011101100110010100
312122122211122
423131212110
51232123240
6144223112
734353260
oct13354624
95578748
103004820
111772625
12100aa98
13812900
145830a0
153e54b5
hex2dd994

3004820 has 72 divisors (see below), whose sum is σ = 7870464. Its totient is φ = 943488.

The previous prime is 3004787. The next prime is 3004829. The reversal of 3004820 is 284003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23597 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (109312).

Almost surely, 23004820 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 3004820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935232).

3004820 is an abundant number, since it is smaller than the sum of its proper divisors (4865644).

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

3004820 is a wasteful number, since it uses less digits than its factorization.

3004820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3004820 is about 1733.4416632815. The cubic root of 3004820 is about 144.3021561780.

Adding to 3004820 its reverse (284003), we get a palindrome (3288823).

The spelling of 3004820 in words is "three million, four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 127 130 140 169 182 254 260 338 364 455 508 635 676 845 889 910 1183 1270 1651 1690 1778 1820 2366 2540 3302 3380 3556 4445 4732 5915 6604 8255 8890 11557 11830 16510 17780 21463 23114 23660 33020 42926 46228 57785 85852 107315 115570 150241 214630 231140 300482 429260 600964 751205 1502410 3004820