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315407 is a prime number
BaseRepresentation
bin1001101000000001111
3121000122202
41031000033
540043112
610432115
72452361
oct1150017
9530582
10315407
111a5a74
1213263b
13b0741
1482d31
15636c2
hex4d00f

315407 has 2 divisors, whose sum is σ = 315408. Its totient is φ = 315406.

The previous prime is 315389. The next prime is 315409. The reversal of 315407 is 704513.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 315407 - 216 = 249871 is a prime.

Together with 315409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315407.

It is not a weakly prime, because it can be changed into another prime (315409) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157703 + 157704.

It is an arithmetic number, because the mean of its divisors is an integer number (157704).

2315407 is an apocalyptic number.

315407 is a deficient number, since it is larger than the sum of its proper divisors (1).

315407 is an equidigital number, since it uses as much as digits as its factorization.

315407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 315407 is about 561.6110753894. The cubic root of 315407 is about 68.0702129443.

It can be divided in two parts, 31540 and 7, that multiplied together give a triangular number (220780 = T664).

The spelling of 315407 in words is "three hundred fifteen thousand, four hundred seven".