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2484338067 = 33718811471
BaseRepresentation
bin1001010000010011…
…1111110110010011
320102010201110011000
42110010333312103
520041442304232
61050303553043
7115364345061
oct22404776623
96363643130
102484338067
111065386a62
12593bbb783
13307907733
14197d35031
15e818527c
hex9413fd93

2484338067 has 32 divisors (see below), whose sum is σ = 3739115520. Its totient is φ = 1629936000.

The previous prime is 2484338057. The next prime is 2484338093. The reversal of 2484338067 is 7608334842.

2484338067 is a `hidden beast` number, since 2 + 484 + 33 + 80 + 67 = 666.

It is not a de Polignac number, because 2484338067 - 222 = 2480143763 is a prime.

It is a super-2 number, since 2×24843380672 = 12343871262290592978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2484338057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688142 + ... + 1689612.

It is an arithmetic number, because the mean of its divisors is an integer number (116847360).

Almost surely, 22484338067 is an apocalyptic number.

2484338067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2484338067 is a deficient number, since it is larger than the sum of its proper divisors (1254777453).

2484338067 is a wasteful number, since it uses less digits than its factorization.

2484338067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2484338067 is about 49843.1346024706. The cubic root of 2484338067 is about 1354.3686672785.

The spelling of 2484338067 in words is "two billion, four hundred eighty-four million, three hundred thirty-eight thousand, sixty-seven".

Divisors: 1 3 9 27 71 213 639 881 1471 1917 2643 4413 7929 13239 23787 39717 62551 104441 187653 313323 562959 939969 1295951 1688877 2819907 3887853 11663559 34990677 92012521 276037563 828112689 2484338067