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830300553 = 321741132361
BaseRepresentation
bin110001011111010…
…110000110001001
32010212100122020100
4301133112012021
53200024104203
6214220120013
726401303215
oct6137260611
92125318210
10830300553
11396757105
121b2096009
13103031904
147c3b5945
154cd5eea3
hex317d6189

830300553 has 24 divisors (see below), whose sum is σ = 1300853736. Its totient is φ = 508262400.

The previous prime is 830300539. The next prime is 830300567. The reversal of 830300553 is 355003038.

830300553 is a `hidden beast` number, since 83 + 0 + 30 + 0 + 553 = 666.

830300553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830300539) and next prime (830300567).

It can be written as a sum of positive squares in 4 ways, for example, as 152843769 + 677456784 = 12363^2 + 26028^2 .

It is not a de Polignac number, because 830300553 - 25 = 830300521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830300533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59908 + ... + 72453.

It is an arithmetic number, because the mean of its divisors is an integer number (54202239).

Almost surely, 2830300553 is an apocalyptic number.

It is an amenable number.

830300553 is a deficient number, since it is larger than the sum of its proper divisors (470553183).

830300553 is a wasteful number, since it uses less digits than its factorization.

830300553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132425 (or 132422 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 830300553 is about 28814.9362831154. The cubic root of 830300553 is about 939.8930589824.

The spelling of 830300553 in words is "eight hundred thirty million, three hundred thousand, five hundred fifty-three".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 132361 397083 1191249 2250137 5426801 6750411 16280403 20251233 48841209 92255617 276766851 830300553