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30305024 = 28432753
BaseRepresentation
bin111001110011…
…0101100000000
32010000122200022
41303212230000
530224230044
63001313012
7515405561
oct163465400
963018608
1030305024
1116119682
12a195768
136380a89
14404c168
1529d93ee
hex1ce6b00

30305024 has 36 divisors (see below), whose sum is σ = 61920936. Its totient is φ = 14794752.

The previous prime is 30305017. The next prime is 30305039. The reversal of 30305024 is 42050303.

It is a Cunningham number, because it is equal to 55052-1.

It is a junction number, because it is equal to n+sod(n) for n = 30304993 and 30305011.

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 3 ways as a sum of consecutive naturals, for example, 9632 + ... + 12384.

It is an arithmetic number, because the mean of its divisors is an integer number (1720026).

Almost surely, 230305024 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 30305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30960468).

30305024 is an abundant number, since it is smaller than the sum of its proper divisors (31615912).

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

30305024 is an equidigital number, since it uses as much as digits as its factorization.

30305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 30305024 is about 5504.9999091735. Note that the first 4 decimals coincide. The cubic root of 30305024 is about 311.7727909671.

Adding to 30305024 its reverse (42050303), we get a palindrome (72355327).

The spelling of 30305024 in words is "thirty million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 2753 5504 5506 11008 11012 22024 44048 88096 118379 176192 236758 352384 473516 704768 947032 1894064 3788128 7576256 15152512 30305024