Search a number
-
+
3349260 = 2232523809
BaseRepresentation
bin1100110001101100001100
320022011022200
430301230030
51324134020
6155441500
740316415
oct14615414
96264280
103349260
111988392
121156290
13903615
1463280c
15462590
hex331b0c

3349260 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 853248.

The previous prime is 3349259. The next prime is 3349273. The reversal of 3349260 is 629433.

3349260 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33492602 = 22435085095200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

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, 3736 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23349260 is an apocalyptic number.

3349260 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 3349260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3349260 is an abundant number, since it is smaller than the sum of its proper divisors (7264980).

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

3349260 is a wasteful number, since it uses less digits than its factorization.

3349260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3349260 is about 1830.0983580125. The cubic root of 3349260 is about 149.6176931041.

The spelling of 3349260 in words is "three million, three hundred forty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 809 828 1035 1380 1618 2070 2427 3236 4045 4140 4854 7281 8090 9708 12135 14562 16180 18607 24270 29124 36405 37214 48540 55821 72810 74428 93035 111642 145620 167463 186070 223284 279105 334926 372140 558210 669852 837315 1116420 1674630 3349260