Search a number
-
+
3020024430 = 2325233534133
BaseRepresentation
bin1011010000000001…
…1110101001101110
321210110201010200200
42310000132221232
522141111240210
61215401334330
7134560532643
oct26400365156
97713633620
103020024430
11130a7a8065
127034973a6
133918a5b07
14209139dca
1512a1ec0c0
hexb401ea6e

3020024430 has 96 divisors (see below), whose sum is σ = 8218656576. Its totient is φ = 767956992.

The previous prime is 3020024419. The next prime is 3020024431. The reversal of 3020024430 is 344200203.

3020024430 is a `hidden beast` number, since 30 + 200 + 2 + 4 + 430 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020024431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728644 + ... + 732776.

It is an arithmetic number, because the mean of its divisors is an integer number (85611006).

Almost surely, 23020024430 is an apocalyptic number.

3020024430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109328288).

3020024430 is an abundant number, since it is smaller than the sum of its proper divisors (5198632146).

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

3020024430 is a wasteful number, since it uses less digits than its factorization.

3020024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3020024430 is about 54954.7489303700. The cubic root of 3020024430 is about 1445.4513709867.

Adding to 3020024430 its reverse (344200203), we get a palindrome (3364224633).

The spelling of 3020024430 in words is "three billion, twenty million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 353 414 690 706 1035 1059 1765 2070 2118 3177 3530 4133 5295 6354 8119 8266 10590 12399 15885 16238 20665 24357 24798 31770 37197 40595 41330 48714 61995 73071 74394 81190 95059 121785 123990 146142 185985 190118 243570 285177 365355 371970 475295 570354 730710 855531 950590 1425885 1458949 1711062 2851770 2917898 4277655 4376847 7294745 8555310 8753694 13130541 14589490 21884235 26261082 33555827 43768470 65652705 67111654 100667481 131305410 167779135 201334962 302002443 335558270 503337405 604004886 1006674810 1510012215 3020024430