Search a number
-
+
30200464 = 24735503
BaseRepresentation
bin111001100110…
…1001010010000
32002211100020201
41303031022100
530212403324
62555144544
7514462000
oct163151220
962740221
1030200464
1116058068
12a145154
1363452c8
144022000
1529b8444
hex1ccd290

30200464 has 40 divisors (see below), whose sum is σ = 68249600. Its totient is φ = 12940704.

The previous prime is 30200441. The next prime is 30200501. The reversal of 30200464 is 46400203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2737 + ... + 8239.

It is an arithmetic number, because the mean of its divisors is an integer number (1706240).

Almost surely, 230200464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124800).

30200464 is an abundant number, since it is smaller than the sum of its proper divisors (38049136).

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

30200464 is an equidigital number, since it uses as much as digits as its factorization.

30200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30200464 is about 5495.4948821739. The cubic root of 30200464 is about 311.4138127923.

Adding to 30200464 its reverse (46400203), we get a palindrome (76600667).

The spelling of 30200464 in words is "thirty million, two hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 5503 11006 22012 38521 44024 77042 88048 154084 269647 308168 539294 616336 1078588 1887529 2157176 3775058 4314352 7550116 15100232 30200464