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30348900 = 22325233721
BaseRepresentation
bin111001111000…
…1011001100100
32010002212212100
41303301121210
530232131100
63002252100
7515650521
oct163613144
963085770
1030348900
111614963a
12a1b7030
136397a3a
144060148
1529e7400
hex1cf1664

30348900 has 54 divisors (see below), whose sum is σ = 95129762. Its totient is φ = 8092800.

The previous prime is 30348881. The next prime is 30348919. The reversal of 30348900 is 984303.

It is an interprime number because it is at equal distance from previous prime (30348881) and next prime (30348919).

It can be written as a sum of positive squares in 3 ways, for example, as 142884 + 30206016 = 378^2 + 5496^2 .

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 17 ways as a sum of consecutive naturals, for example, 15961 + ... + 17760.

Almost surely, 230348900 is an apocalyptic number.

30348900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30348900 is an abundant number, since it is smaller than the sum of its proper divisors (64780862).

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

30348900 is a wasteful number, since it uses less digits than its factorization.

30348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30348900 is about 5508.9835723117. The cubic root of 30348900 is about 311.9231812850.

The spelling of 30348900 in words is "thirty million, three hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 33721 67442 101163 134884 168605 202326 303489 337210 404652 505815 606978 674420 843025 1011630 1213956 1517445 1686050 2023260 2529075 3034890 3372100 5058150 6069780 7587225 10116300 15174450 30348900