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300405378912 = 2534676700691
BaseRepresentation
bin1000101111100011000…
…11100100111101100000
31001201101202201102001220
410113301203210331200
514410212234111122
6350000533455040
730463216406142
oct4276143447540
91051352642056
10300405378912
111064460064a1
124a2791a1480
1322435b045a2
141077ad06c92
157c3308625c
hex45f18e4f60

300405378912 has 48 divisors (see below), whose sum is σ = 790252811712. Its totient is φ = 99920689280.

The previous prime is 300405378887. The next prime is 300405378937. The reversal of 300405378912 is 219873504003.

It is an interprime number because it is at equal distance from previous prime (300405378887) and next prime (300405378937).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 3305514 + ... + 3395177.

It is an arithmetic number, because the mean of its divisors is an integer number (16463600244).

Almost surely, 2300405378912 is an apocalyptic number.

300405378912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300405378912 is an abundant number, since it is smaller than the sum of its proper divisors (489847432800).

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

300405378912 is a wasteful number, since it uses less digits than its factorization.

300405378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701171 (or 6701163 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 300405378912 in words is "three hundred billion, four hundred five million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 44832 6700691 13401382 20102073 26802764 40204146 53605528 80408292 107211056 160816584 214422112 321633168 643266336 3129222697 6258445394 9387668091 12516890788 18775336182 25033781576 37550672364 50067563152 75101344728 100135126304 150202689456 300405378912