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300114 = 23216673
BaseRepresentation
bin1001001010001010010
3120020200100
41021101102
534100424
610233230
72356653
oct1112122
9506610
10300114
11195531
12125816
13a67a9
147b52a
155ddc9
hex49452

300114 has 12 divisors (see below), whose sum is σ = 650286. Its totient is φ = 100032.

The previous prime is 300109. The next prime is 300119. The reversal of 300114 is 411003.

It is an interprime number because it is at equal distance from previous prime (300109) and next prime (300119).

It can be written as a sum of positive squares in only one way, i.e., 189225 + 110889 = 435^2 + 333^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300096 and 300105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8319 + ... + 8354.

2300114 is an apocalyptic number.

300114 is an abundant number, since it is smaller than the sum of its proper divisors (350172).

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

300114 is a wasteful number, since it uses less digits than its factorization.

300114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16681 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 300114 is about 547.8266149066. The cubic root of 300114 is about 66.9517734184.

Adding to 300114 its reverse (411003), we get a palindrome (711117).

Subtracting 300114 from its reverse (411003), we obtain a square (110889 = 3332).

It can be divided in two parts, 300 and 114, that added together give a palindrome (414).

The spelling of 300114 in words is "three hundred thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 16673 33346 50019 100038 150057 300114