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3001084424 = 23133170749
BaseRepresentation
bin1011001011100000…
…1110101000001000
321202011001212212222
42302320032220020
522121234200144
61213443353212
7134240540162
oct26270165010
97664055788
103001084424
111300041168
126b9082808
1338a9a4000
14206809932
1512870a2ee
hexb2e0ea08

3001084424 has 32 divisors (see below), whose sum is σ = 6095775000. Its totient is φ = 1385107776.

The previous prime is 3001084403. The next prime is 3001084481. The reversal of 3001084424 is 4244801003.

It can be written as a sum of positive squares in 4 ways, for example, as 438902500 + 2562181924 = 20950^2 + 50618^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3001084393 and 3001084402.

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, 67799 + ... + 102950.

Almost surely, 23001084424 is an apocalyptic number.

It is an amenable number.

3001084424 is an abundant number, since it is smaller than the sum of its proper divisors (3094690576).

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

3001084424 is a wasteful number, since it uses less digits than its factorization.

3001084424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170794 (or 170764 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 3001084424 is about 54782.1542475285. The cubic root of 3001084424 is about 1442.4233282669.

Adding to 3001084424 its reverse (4244801003), we get a palindrome (7245885427).

The spelling of 3001084424 in words is "three billion, one million, eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 4394 8788 17576 170749 341498 682996 1365992 2219737 4439474 8878948 17757896 28856581 57713162 115426324 230852648 375135553 750271106 1500542212 3001084424