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300054114 = 232171496581
BaseRepresentation
bin10001111000100…
…111011001100010
3202220121022212100
4101320213121202
51103303212424
645435111230
710302263223
oct2170473142
9686538770
10300054114
11144411108
12845a2516
134a219619
142bbc924a
151b51edc9
hex11e27662

300054114 has 48 divisors (see below), whose sum is σ = 693084600. Its totient is φ = 93488640.

The previous prime is 300054101. The next prime is 300054119. The reversal of 300054114 is 411450003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 204347025 + 95707089 = 14295^2 + 9783^2 .

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

It is not an unprimeable number, because it can be changed into a prime (300054119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42304 + ... + 48884.

Almost surely, 2300054114 is an apocalyptic number.

300054114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300054114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346542300).

300054114 is an abundant number, since it is smaller than the sum of its proper divisors (393030486).

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

300054114 is a wasteful number, since it uses less digits than its factorization.

300054114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 300054114 is about 17322.0701418739. The cubic root of 300054114 is about 669.4731984341.

The spelling of 300054114 in words is "three hundred million, fifty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 447 894 1341 2533 2682 5066 6581 7599 13162 15198 19743 22797 39486 45594 59229 111877 118458 223754 335631 671262 980569 1006893 1961138 2013786 2941707 5883414 8825121 16669673 17650242 33339346 50009019 100018038 150027057 300054114