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314363413 = 7138341621
BaseRepresentation
bin10010101111001…
…100111000010101
3210220112022112101
4102233030320111
51120434112123
651105522101
710535021260
oct2257147025
9726468471
10314363413
111514a4981
1289343331
1350189770
142da71cd7
151c8e9aad
hex12bcce15

314363413 has 16 divisors (see below), whose sum is σ = 391579776. Its totient is φ = 245724480.

The previous prime is 314363407. The next prime is 314363419.

314363413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314363407) and next prime (314363419).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314363413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314363419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13258 + ... + 28363.

It is an arithmetic number, because the mean of its divisors is an integer number (24473736).

Almost surely, 2314363413 is an apocalyptic number.

It is an amenable number.

314363413 is a deficient number, since it is larger than the sum of its proper divisors (77216363).

314363413 is a wasteful number, since it uses less digits than its factorization.

314363413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724.

The product of its digits is 7776, while the sum is 28.

The square root of 314363413 is about 17730.2964724226. The cubic root of 314363413 is about 679.9505536422.

The spelling of 314363413 in words is "three hundred fourteen million, three hundred sixty-three thousand, four hundred thirteen".

Divisors: 1 7 13 83 91 581 1079 7553 41621 291347 541073 3454543 3787511 24181801 44909059 314363413