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313829369 = 726404681
BaseRepresentation
bin10010101101001…
…010011111111001
3210212112011221222
4102231022133321
51120320014434
651050241425
710530335300
oct2255123771
9725464858
10313829369
1115116a717
1289126275
1350030669
142d973437
151c84172e
hex12b4a7f9

313829369 has 6 divisors (see below), whose sum is σ = 365066874. Its totient is φ = 268996560.

The previous prime is 313829357. The next prime is 313829389. The reversal of 313829369 is 963928313.

It can be written as a sum of positive squares in only one way, i.e., 157879225 + 155950144 = 12565^2 + 12488^2 .

It is not a de Polignac number, because 313829369 - 24 = 313829353 is a prime.

It is a super-2 number, since 2×3138293692 = 196977745693876322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313829389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3202292 + ... + 3202389.

It is an arithmetic number, because the mean of its divisors is an integer number (60844479).

Almost surely, 2313829369 is an apocalyptic number.

It is an amenable number.

313829369 is a deficient number, since it is larger than the sum of its proper divisors (51237505).

313829369 is an equidigital number, since it uses as much as digits as its factorization.

313829369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404695 (or 6404688 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 313829369 is about 17715.2298602079. The cubic root of 313829369 is about 679.5652995925.

The spelling of 313829369 in words is "three hundred thirteen million, eight hundred twenty-nine thousand, three hundred sixty-nine".

Divisors: 1 7 49 6404681 44832767 313829369