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3041460 = 2232561277
BaseRepresentation
bin1011100110100010110100
312201112002200
423212202310
51234311320
6145104500
734565142
oct13464264
95645080
103041460
111798104
121028130
138264a6
14592592
15401290
hex2e68b4

3041460 has 72 divisors (see below), whose sum is σ = 9410856. Its totient is φ = 794880.

The previous prime is 3041443. The next prime is 3041461. The reversal of 3041460 is 641403.

3041460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 2965284 = 276^2 + 1722^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10842 + ... + 11118.

Almost surely, 23041460 is an apocalyptic number.

3041460 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 3041460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705428).

3041460 is an abundant number, since it is smaller than the sum of its proper divisors (6369396).

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

3041460 is a wasteful number, since it uses less digits than its factorization.

3041460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3041460 is about 1743.9782108731. The cubic root of 3041460 is about 144.8863159652.

Adding to 3041460 its reverse (641403), we get a palindrome (3682863).

It can be divided in two parts, 304 and 1460, that added together give a square (1764 = 422).

The spelling of 3041460 in words is "three million, forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 277 305 366 549 554 610 732 831 915 1098 1108 1220 1385 1662 1830 2196 2493 2745 2770 3324 3660 4155 4986 5490 5540 8310 9972 10980 12465 16620 16897 24930 33794 49860 50691 67588 84485 101382 152073 168970 202764 253455 304146 337940 506910 608292 760365 1013820 1520730 3041460