Search a number
-
+
3022320 = 243572257
BaseRepresentation
bin1011100001110111110000
312200112211210
423201313300
51233203240
6144440120
734455300
oct13416760
95615753
103022320
111784794
121019040
1381a872
14589600
153ea780
hex2e1df0

3022320 has 120 divisors (see below), whose sum is σ = 10941264. Its totient is φ = 688128.

The previous prime is 3022309. The next prime is 3022339. The reversal of 3022320 is 232203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3022296 and 3022305.

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, 11632 + ... + 11888.

Almost surely, 23022320 is an apocalyptic number.

3022320 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 3022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470632).

3022320 is an abundant number, since it is smaller than the sum of its proper divisors (7918944).

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

3022320 is a wasteful number, since it uses less digits than its factorization.

3022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3022320 is about 1738.4820965428. The cubic root of 3022320 is about 144.5817515314.

Adding to 3022320 its reverse (232203), we get a palindrome (3254523).

The spelling of 3022320 in words is "three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 257 280 294 336 392 420 490 514 560 588 735 771 784 840 980 1028 1176 1285 1470 1542 1680 1799 1960 2056 2352 2570 2940 3084 3598 3855 3920 4112 5140 5397 5880 6168 7196 7710 8995 10280 10794 11760 12336 12593 14392 15420 17990 20560 21588 25186 26985 28784 30840 35980 37779 43176 50372 53970 61680 62965 71960 75558 86352 100744 107940 125930 143920 151116 188895 201488 215880 251860 302232 377790 431760 503720 604464 755580 1007440 1511160 3022320