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830844337 is a prime number
BaseRepresentation
bin110001100001011…
…010110110110001
32010220101021011111
4301201122312301
53200144004322
6214235513321
726406026461
oct6141326661
92126337144
10830844337
11396a98714
121b22b8841
1310319228b
147c4b7ba1
154ce1b177
hex3185adb1

830844337 has 2 divisors, whose sum is σ = 830844338. Its totient is φ = 830844336.

The previous prime is 830844319. The next prime is 830844347. The reversal of 830844337 is 733448038.

It is a happy number.

830844337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 11768-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 826217536 + 4626801 = 28744^2 + 2151^2 .

It is a cyclic number.

It is not a de Polignac number, because 830844337 - 223 = 822455729 is a prime.

It is equal to p42649627 and since 830844337 and 42649627 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 830844337.

It is not a weakly prime, because it can be changed into another prime (830844307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415422168 + 415422169.

It is an arithmetic number, because the mean of its divisors is an integer number (415422169).

Almost surely, 2830844337 is an apocalyptic number.

It is an amenable number.

830844337 is a deficient number, since it is larger than the sum of its proper divisors (1).

830844337 is an equidigital number, since it uses as much as digits as its factorization.

830844337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 830844337 is about 28824.3705395278. The cubic root of 830844337 is about 940.0982004696.

The spelling of 830844337 in words is "eight hundred thirty million, eight hundred forty-four thousand, three hundred thirty-seven".