Search a number
-
+
30323424 = 253378537
BaseRepresentation
bin111001110101…
…1001011100000
32010001120220210
41303223023200
530230322144
63001534120
7515513325
oct163531340
963046823
1030323424
111613148a
12a1a4340
136389271
144054b4c
1529deab9
hex1ceb2e0

30323424 has 48 divisors (see below), whose sum is σ = 81759888. Its totient is φ = 9833472.

The previous prime is 30323399. The next prime is 30323431. The reversal of 30323424 is 42432303.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30323424.

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 7 ways as a sum of consecutive naturals, for example, 717 + ... + 7820.

It is an arithmetic number, because the mean of its divisors is an integer number (1703331).

Almost surely, 230323424 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 30323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40879944).

30323424 is an abundant number, since it is smaller than the sum of its proper divisors (51436464).

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

30323424 is a wasteful number, since it uses less digits than its factorization.

30323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 30323424 is about 5506.6708635981. The cubic root of 30323424 is about 311.8358768626.

Adding to 30323424 its reverse (42432303), we get a palindrome (72755727).

The spelling of 30323424 in words is "thirty million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 8537 17074 25611 34148 51222 68296 102444 136592 204888 273184 315869 409776 631738 819552 947607 1263476 1895214 2526952 3790428 5053904 7580856 10107808 15161712 30323424