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30014000 = 245343349
BaseRepresentation
bin111001001111…
…1101000110000
32002110212110122
41302133220300
530140422000
62551145412
7513054242
oct162375060
962425418
1030014000
1115a3aa65
12a075268
1362ab483
143db4092
15297d085
hex1c9fa30

30014000 has 80 divisors (see below), whose sum is σ = 74474400. Its totient is φ = 11692800.

The previous prime is 30013999. The next prime is 30014003. The reversal of 30014000 is 41003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (30014003) 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 15 ways as a sum of consecutive naturals, for example, 85826 + ... + 86174.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 230014000 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 30014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237200).

30014000 is an abundant number, since it is smaller than the sum of its proper divisors (44460400).

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

30014000 is a wasteful number, since it uses less digits than its factorization.

30014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 30014000 is about 5478.5034452850. The cubic root of 30014000 is about 310.7715778065.

Adding to 30014000 its reverse (41003), we get a palindrome (30055003).

The spelling of 30014000 in words is "thirty million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 349 400 430 500 688 698 860 1000 1075 1396 1720 1745 2000 2150 2792 3440 3490 4300 5375 5584 6980 8600 8725 10750 13960 15007 17200 17450 21500 27920 30014 34900 43000 43625 60028 69800 75035 86000 87250 120056 139600 150070 174500 240112 300140 349000 375175 600280 698000 750350 1200560 1500700 1875875 3001400 3751750 6002800 7503500 15007000 30014000