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300003040224 = 25331973250343
BaseRepresentation
bin1000101110110011001…
…00110001101111100000
31001200100201122111011000
410113121210301233200
514403401234241344
6345453002152000
730450232524066
oct4273144615740
91050321574130
10300003040224
11106259993488
124a1864b2600
13223a0654664
141073d6d4036
157c0caaea69
hex45d9931be0

300003040224 has 192 divisors, whose sum is σ = 933682982400. Its totient is φ = 93439650816.

The previous prime is 300003040219. The next prime is 300003040241. The reversal of 300003040224 is 422040300003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300003040197 and 300003040206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073197 + ... + 1323539.

It is an arithmetic number, because the mean of its divisors is an integer number (4862932200).

Almost surely, 2300003040224 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 300003040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466841491200).

300003040224 is an abundant number, since it is smaller than the sum of its proper divisors (633679942176).

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

300003040224 is a wasteful number, since it uses less digits than its factorization.

300003040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250454 (or 250440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 300003040224 its reverse (422040300003), we get a palindrome (722043340227).

The spelling of 300003040224 in words is "three hundred billion, three million, forty thousand, two hundred twenty-four".