Search a number
-
+
30035824 = 247313421
BaseRepresentation
bin111001010010…
…0111101110000
32002111222101221
41302210331300
530142121244
62551434424
7513205000
oct162447560
962458357
1030035824
1115a553a5
12a085a14
1362b83a0
143dbc000
152984784
hex1ca4f70

30035824 has 80 divisors (see below), whose sum is σ = 73259200. Its totient is φ = 11854080.

The previous prime is 30035783. The next prime is 30035833. The reversal of 30035824 is 42853003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71134 + ... + 71554.

It is an arithmetic number, because the mean of its divisors is an integer number (915740).

Almost surely, 230035824 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 30035824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36629600).

30035824 is an abundant number, since it is smaller than the sum of its proper divisors (43223376).

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

30035824 is a wasteful number, since it uses less digits than its factorization.

30035824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 30035824 is about 5480.4948681666. The cubic root of 30035824 is about 310.8468830609.

Adding to 30035824 its reverse (42853003), we get a palindrome (72888827).

The spelling of 30035824 in words is "thirty million, thirty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 421 637 686 728 784 842 1274 1372 1456 1684 2548 2744 2947 3368 4459 5096 5473 5488 5894 6736 8918 10192 10946 11788 17836 20629 21892 23576 35672 38311 41258 43784 47152 71344 76622 82516 87568 144403 153244 165032 268177 288806 306488 330064 536354 577612 612976 1072708 1155224 1877239 2145416 2310448 3754478 4290832 7508956 15017912 30035824