Search a number
-
+
322323030 = 23351983757
BaseRepresentation
bin10011001101100…
…100001001010110
3211110111201002000
4103031210021112
51130003314110
651552300130
710662462201
oct2315441126
9743451060
10322323030
11155a41077
128bb41646
1351a156b3
1430b44938
151d46d1c0
hex13364256

322323030 has 128 divisors (see below), whose sum is σ = 916876800. Its totient is φ = 80341632.

The previous prime is 322323013. The next prime is 322323037. The reversal of 322323030 is 30323223.

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

It is a junction number, because it is equal to n+sod(n) for n = 322322994 and 322323012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322323037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425412 + ... + 426168.

It is an arithmetic number, because the mean of its divisors is an integer number (7163100).

Almost surely, 2322323030 is an apocalyptic number.

322323030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

322323030 is the 11355-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458438400).

322323030 is an abundant number, since it is smaller than the sum of its proper divisors (594553770).

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

322323030 is a wasteful number, since it uses less digits than its factorization.

322323030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 322323030 is about 17953.3570676907. The cubic root of 322323030 is about 685.6415252038.

Adding to 322323030 its reverse (30323223), we get a palindrome (352646253).

The spelling of 322323030 in words is "three hundred twenty-two million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 83 90 95 114 135 166 171 190 249 270 285 342 415 498 513 570 747 757 830 855 1026 1245 1494 1514 1577 1710 2241 2271 2490 2565 3154 3735 3785 4482 4542 4731 5130 6813 7470 7570 7885 9462 11205 11355 13626 14193 14383 15770 20439 22410 22710 23655 28386 28766 34065 40878 42579 43149 47310 62831 68130 70965 71915 85158 86298 102195 125662 129447 141930 143830 188493 204390 212895 215745 258894 314155 376986 388341 425790 431490 565479 628310 647235 776682 942465 1130958 1193789 1294470 1696437 1884930 1941705 2387578 2827395 3392874 3581367 3883410 5654790 5968945 7162734 8482185 10744101 11937890 16964370 17906835 21488202 32232303 35813670 53720505 64464606 107441010 161161515 322323030