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300057629 is a prime number
BaseRepresentation
bin10001111000101…
…000010000011101
3202220121111200112
4101320220100131
51103303321004
645435135405
710302306404
oct2170502035
9686544615
10300057629
11144413813
12845a4565
134a21b0c1
142bbca63b
151b520e6e
hex11e2841d

300057629 has 2 divisors, whose sum is σ = 300057630. Its totient is φ = 300057628.

The previous prime is 300057613. The next prime is 300057631. The reversal of 300057629 is 926750003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274068025 + 25989604 = 16555^2 + 5098^2 .

It is a cyclic number.

It is not a de Polignac number, because 300057629 - 24 = 300057613 is a prime.

It is a super-2 number, since 2×3000576292 = 180069161442203282, which contains 22 as substring.

Together with 300057631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 300057595 and 300057604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300057689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150028814 + 150028815.

It is an arithmetic number, because the mean of its divisors is an integer number (150028815).

Almost surely, 2300057629 is an apocalyptic number.

It is an amenable number.

300057629 is a deficient number, since it is larger than the sum of its proper divisors (1).

300057629 is an equidigital number, since it uses as much as digits as its factorization.

300057629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 300057629 is about 17322.1716017363. The cubic root of 300057629 is about 669.4758126171.

The spelling of 300057629 in words is "three hundred million, fifty-seven thousand, six hundred twenty-nine".