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830026329 = 31161412333
BaseRepresentation
bin110001011110010…
…011001001011001
32010211211201001220
4301132103021121
53144441320304
6214210202253
726366051556
oct6136231131
92124751056
10830026329
1139658a080
121b1b83389
13102c66b52
147c343a2d
154cd08ad9
hex31793259

830026329 has 16 divisors (see below), whose sum is σ = 1227105984. Its totient is φ = 494798400.

The previous prime is 830026319. The next prime is 830026331. The reversal of 830026329 is 923620038.

830026329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 830026329 - 28 = 830026073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 830026329.

It is not an unprimeable number, because it can be changed into a prime (830026319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204154 + ... + 208179.

It is an arithmetic number, because the mean of its divisors is an integer number (76694124).

Almost surely, 2830026329 is an apocalyptic number.

It is an amenable number.

830026329 is a deficient number, since it is larger than the sum of its proper divisors (397079655).

830026329 is a wasteful number, since it uses less digits than its factorization.

830026329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412408.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 830026329 is about 28810.1775246179. The cubic root of 830026329 is about 939.7895745220.

The spelling of 830026329 in words is "eight hundred thirty million, twenty-six thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 61 183 671 2013 412333 1236999 4535663 13606989 25152313 75456939 276675443 830026329