Search a number
-
+
830328080 = 24525141351
BaseRepresentation
bin110001011111011…
…100110100010000
32010212102000222212
4301133130310100
53200030444310
6214220451252
726401446401
oct6137346420
92125360885
10830328080
1139677585a
121b20a9b28
131030412ba
147c3c19a8
154cd68205
hex317dcd10

830328080 has 40 divisors (see below), whose sum is σ = 1938250944. Its totient is φ = 330800000.

The previous prime is 830328073. The next prime is 830328089. The reversal of 830328080 is 80823038.

830328080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (830328089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 40755.

Almost surely, 2830328080 is an apocalyptic number.

830328080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830328080 is an abundant number, since it is smaller than the sum of its proper divisors (1107922864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830328080 is a wasteful number, since it uses less digits than its factorization.

830328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41615 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 830328080 is about 28815.4139307420. The cubic root of 830328080 is about 939.9034456431.

The spelling of 830328080 in words is "eight hundred thirty million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 20080 41351 82702 165404 206755 330808 413510 661616 827020 1654040 3308080 10379101 20758202 41516404 51895505 83032808 103791010 166065616 207582020 415164040 830328080