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300054016 = 293747337
BaseRepresentation
bin10001111000100…
…111011000000000
3202220121022201201
4101320213120000
51103303212031
645435110544
710302263023
oct2170473000
9686538651
10300054016
11144411029
12845a2454
134a219572
142bbc91ba
151b51ed61
hex11e27600

300054016 has 80 divisors (see below), whose sum is σ = 630691776. Its totient is φ = 142442496.

The previous prime is 300053993. The next prime is 300054019. The reversal of 300054016 is 610450003.

It is a junction number, because it is equal to n+sod(n) for n = 300053984 and 300054002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300054019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890200 + ... + 890536.

Almost surely, 2300054016 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 300054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315345888).

300054016 is an abundant number, since it is smaller than the sum of its proper divisors (330637760).

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

300054016 is an equidigital number, since it uses as much as digits as its factorization.

300054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 300054016 is about 17322.0673131125. The cubic root of 300054016 is about 669.4731255491.

The spelling of 300054016 in words is "three hundred million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 128 148 188 256 296 337 376 512 592 674 752 1184 1348 1504 1739 2368 2696 3008 3478 4736 5392 6016 6956 9472 10784 12032 12469 13912 15839 18944 21568 24064 24938 27824 31678 43136 49876 55648 63356 86272 99752 111296 126712 172544 199504 222592 253424 399008 445184 506848 586043 798016 890368 1013696 1172086 1596032 2027392 2344172 3192064 4054784 4688344 6384128 8109568 9376688 18753376 37506752 75013504 150027008 300054016