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3004980 = 22351129157
BaseRepresentation
bin1011011101101000110100
312122200001120
423131220310
51232124410
6144223540
734353606
oct13355064
95580046
103004980
111772760
12100abb0
138129c4
14583176
153e5570
hex2dda34

3004980 has 96 divisors (see below), whose sum is σ = 9555840. Its totient is φ = 698880.

The previous prime is 3004979. The next prime is 3004987. The reversal of 3004980 is 894003.

It is a self number, because there is not a number n which added to its sum of digits gives 3004980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19062 + ... + 19218.

It is an arithmetic number, because the mean of its divisors is an integer number (99540).

Almost surely, 23004980 is an apocalyptic number.

3004980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920).

3004980 is an abundant number, since it is smaller than the sum of its proper divisors (6550860).

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

3004980 is a wasteful number, since it uses less digits than its factorization.

3004980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3004980 is about 1733.4878136289. The cubic root of 3004980 is about 144.3047173892.

Adding to 3004980 its reverse (894003), we get a palindrome (3898983).

The spelling of 3004980 in words is "three million, four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 157 165 174 220 290 314 319 330 348 435 471 580 628 638 660 785 870 942 957 1276 1570 1595 1727 1740 1884 1914 2355 3140 3190 3454 3828 4553 4710 4785 5181 6380 6908 8635 9106 9420 9570 10362 13659 17270 18212 19140 20724 22765 25905 27318 34540 45530 50083 51810 54636 68295 91060 100166 103620 136590 150249 200332 250415 273180 300498 500830 600996 751245 1001660 1502490 3004980