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30144016 = 247238449
BaseRepresentation
bin111001011111…
…1011000010000
32002201110211001
41302333120100
530204102031
62554031344
7514135300
oct162773020
962643731
1030144016
1116019711
12a118554
1363256c6
144009600
1529a6861
hex1cbf610

30144016 has 30 divisors (see below), whose sum is σ = 67941150. Its totient is φ = 12918528.

The previous prime is 30143987. The next prime is 30144019. The reversal of 30144016 is 61044103.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16483600 + 13660416 = 4060^2 + 3696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30143984 and 30144002.

It is not an unprimeable number, because it can be changed into a prime (30144019) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18441 + ... + 20008.

It is an arithmetic number, because the mean of its divisors is an integer number (2264705).

Almost surely, 230144016 is an apocalyptic number.

It is an amenable number.

30144016 is an abundant number, since it is smaller than the sum of its proper divisors (37797134).

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

30144016 is a wasteful number, since it uses less digits than its factorization.

30144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38471 (or 38458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30144016 is about 5490.3566368680. The cubic root of 30144016 is about 311.2196695229.

Adding to 30144016 its reverse (61044103), we get a palindrome (91188119).

The spelling of 30144016 in words is "thirty million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 38449 76898 153796 269143 307592 538286 615184 1076572 1884001 2153144 3768002 4306288 7536004 15072008 30144016