Search a number
-
+
3030960 = 243573173
BaseRepresentation
bin1011100011111110110000
312200222200210
423203332300
51233442320
6144544120
734522422
oct13437660
95628623
103030960
111790229
121022040
1382178a
1458c812
153ed0e0
hex2e3fb0

3030960 has 80 divisors (see below), whose sum is σ = 9579744. Its totient is φ = 792576.

The previous prime is 3030953. The next prime is 3030971. The reversal of 3030960 is 690303.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17434 + ... + 17606.

Almost surely, 23030960 is an apocalyptic number.

3030960 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 3030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789872).

3030960 is an abundant number, since it is smaller than the sum of its proper divisors (6548784).

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

3030960 is a wasteful number, since it uses less digits than its factorization.

3030960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3030960 is about 1740.9652495096. The cubic root of 3030960 is about 144.7193939007.

The spelling of 3030960 in words is "three million, thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 173 219 240 292 346 365 438 519 584 692 730 865 876 1038 1095 1168 1384 1460 1730 1752 2076 2190 2595 2768 2920 3460 3504 4152 4380 5190 5840 6920 8304 8760 10380 12629 13840 17520 20760 25258 37887 41520 50516 63145 75774 101032 126290 151548 189435 202064 252580 303096 378870 505160 606192 757740 1010320 1515480 3030960