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314084629 is a prime number
BaseRepresentation
bin10010101110001…
…000110100010101
3210220000011010001
4102232020310111
51120401202004
651055531301
710532450425
oct2256106425
9726004101
10314084629
11151324481
1289229b31
13500bc8c1
142d9dc485
151c8921a4
hex12b88d15

314084629 has 2 divisors, whose sum is σ = 314084630. Its totient is φ = 314084628.

The previous prime is 314084627. The next prime is 314084633. The reversal of 314084629 is 926480413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233264529 + 80820100 = 15273^2 + 8990^2 .

It is a cyclic number.

It is not a de Polignac number, because 314084629 - 21 = 314084627 is a prime.

It is a super-3 number, since 3×3140846293 (a number of 26 digits) contains 333 as substring.

Together with 314084627, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314084627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157042314 + 157042315.

It is an arithmetic number, because the mean of its divisors is an integer number (157042315).

Almost surely, 2314084629 is an apocalyptic number.

It is an amenable number.

314084629 is a deficient number, since it is larger than the sum of its proper divisors (1).

314084629 is an equidigital number, since it uses as much as digits as its factorization.

314084629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 314084629 is about 17722.4329311751. The cubic root of 314084629 is about 679.7494961082.

The spelling of 314084629 in words is "three hundred fourteen million, eighty-four thousand, six hundred twenty-nine".