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830122304 = 26111179151
BaseRepresentation
bin110001011110101…
…010100101000000
32010212000120201112
4301132222211000
53200002403204
6214212222452
726366631434
oct6136524500
92125016645
10830122304
113966451a0
121b200aa28
13102c9b73b
147c36a9c4
154cd2726e
hex317aa940

830122304 has 28 divisors (see below), whose sum is σ = 1797027648. Its totient is φ = 377328000.

The previous prime is 830122297. The next prime is 830122339. The reversal of 830122304 is 403221038.

It is a self number, because there is not a number n which added to its sum of digits gives 830122304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 588872 + ... + 590279.

Almost surely, 2830122304 is an apocalyptic number.

It is an amenable number.

830122304 is an abundant number, since it is smaller than the sum of its proper divisors (966905344).

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

830122304 is a wasteful number, since it uses less digits than its factorization.

830122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179174 (or 1179164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 830122304 is about 28811.8431204947. The cubic root of 830122304 is about 939.8257953924.

The spelling of 830122304 in words is "eight hundred thirty million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1179151 2358302 4716604 9433208 12970661 18866416 25941322 37732832 51882644 75465664 103765288 207530576 415061152 830122304