Search a number
-
+
3039345 = 3251729137
BaseRepresentation
bin1011100110000001110001
312201102012100
423212001301
51234224340
6145051013
734556031
oct13460161
95642170
103039345
111796561
121026a69
1382553a
145918c1
15400830
hex2e6071

3039345 has 48 divisors (see below), whose sum is σ = 5812560. Its totient is φ = 1462272.

The previous prime is 3039343. The next prime is 3039347. The reversal of 3039345 is 5439303.

3039345 is a nontrivial binomial coefficient, being equal to C(2466, 2).

It is an interprime number because it is at equal distance from previous prime (3039343) and next prime (3039347).

It can be written as a sum of positive squares in 8 ways, for example, as 53361 + 2985984 = 231^2 + 1728^2 .

It is not a de Polignac number, because 3039345 - 21 = 3039343 is a prime.

It is a Curzon number.

3039345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3039341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22117 + ... + 22253.

It is an arithmetic number, because the mean of its divisors is an integer number (121095).

Almost surely, 23039345 is an apocalyptic number.

3039345 is the 2465-th triangular number and also the 1233-rd hexagonal number.

It is an amenable number.

3039345 is a deficient number, since it is larger than the sum of its proper divisors (2773215).

3039345 is a wasteful number, since it uses less digits than its factorization.

3039345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3039345 is about 1743.3717331654. The cubic root of 3039345 is about 144.8527240262.

The spelling of 3039345 in words is "three million, thirty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 137 145 153 255 261 411 435 493 685 765 1233 1305 1479 2055 2329 2465 3973 4437 6165 6987 7395 11645 11919 19865 20961 22185 34935 35757 59595 67541 104805 178785 202623 337705 607869 1013115 3039345