Search a number
-
+
3389820 = 2235721153
BaseRepresentation
bin1100111011100101111100
320101012221220
430323211330
51331433240
6200353340
740545600
oct14734574
96335856
103389820
111a05905
121175850
13918c15
14643500
1546e5d0
hex33b97c

3389820 has 72 divisors (see below), whose sum is σ = 11050704. Its totient is φ = 774144.

The previous prime is 3389801. The next prime is 3389857. The reversal of 3389820 is 289833.

It is a super-2 number, since 2×33898202 = 22981759264800, which contains 22 as substring.

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, 2364 + ... + 3516.

It is an arithmetic number, because the mean of its divisors is an integer number (153482).

Almost surely, 23389820 is an apocalyptic number.

3389820 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 3389820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525352).

3389820 is an abundant number, since it is smaller than the sum of its proper divisors (7660884).

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

3389820 is a wasteful number, since it uses less digits than its factorization.

3389820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3389820 is about 1841.1463820131. The cubic root of 3389820 is about 150.2192349730.

The spelling of 3389820 in words is "three million, three hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1153 1470 2306 2940 3459 4612 5765 6918 8071 11530 13836 16142 17295 23060 24213 32284 34590 40355 48426 56497 69180 80710 96852 112994 121065 161420 169491 225988 242130 282485 338982 484260 564970 677964 847455 1129940 1694910 3389820