Search a number
-
+
30130326 = 2333141439
BaseRepresentation
bin111001011110…
…0000010010110
32002200210001000
41302330002112
530203132301
62553444130
7514050342
oct162740226
962623030
1030130326
111600a3a6
12a110646
13631c3c5
144004622
1529a2786
hex1cbc096

30130326 has 64 divisors (see below), whose sum is σ = 70963200. Its totient is φ = 9460800.

The previous prime is 30130283. The next prime is 30130339. The reversal of 30130326 is 62303103.

It is a happy number.

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 = 30130299 and 30130308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68415 + ... + 68853.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 230130326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481600).

30130326 is an abundant number, since it is smaller than the sum of its proper divisors (40832874).

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

30130326 is a wasteful number, since it uses less digits than its factorization.

30130326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30130326 is about 5489.1097638870. The cubic root of 30130326 is about 311.1725485904.

Adding to 30130326 its reverse (62303103), we get a palindrome (92433429).

The spelling of 30130326 in words is "thirty million, one hundred thirty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 186 246 279 369 439 558 738 837 878 1107 1271 1317 1674 2214 2542 2634 3813 3951 7626 7902 11439 11853 13609 17999 22878 23706 27218 34317 35998 40827 53997 68634 81654 107994 122481 161991 244962 323982 367443 485973 557969 734886 971946 1115938 1673907 3347814 5021721 10043442 15065163 30130326