Search a number
-
+
3033540 = 2232519887
BaseRepresentation
bin1011100100100111000100
312201010020100
423210213010
51234033130
6145004100
734533066
oct13444704
95633210
103033540
111792164
121023630
138229c3
1458d736
153edc60
hex2e49c4

3033540 has 72 divisors (see below), whose sum is σ = 9696960. Its totient is φ = 765504.

The previous prime is 3033533. The next prime is 3033551. The reversal of 3033540 is 453303.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 2977 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (134680).

Almost surely, 23033540 is an apocalyptic number.

3033540 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 3033540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848480).

3033540 is an abundant number, since it is smaller than the sum of its proper divisors (6663420).

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

3033540 is a wasteful number, since it uses less digits than its factorization.

3033540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3033540 is about 1741.7060601606. The cubic root of 3033540 is about 144.7604447169.

Adding to 3033540 its reverse (453303), we get a palindrome (3486843).

The spelling of 3033540 in words is "three million, thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 887 1140 1710 1774 2661 3420 3548 4435 5322 7983 8870 10644 13305 15966 16853 17740 26610 31932 33706 39915 50559 53220 67412 79830 84265 101118 151677 159660 168530 202236 252795 303354 337060 505590 606708 758385 1011180 1516770 3033540