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830320704 = 26321441529
BaseRepresentation
bin110001011111011…
…011000001000000
32010212101122212200
4301133123001000
53200030230304
6214220353200
726401416033
oct6137330100
92125348780
10830320704
11396770264
121b20a5800
1310303ab35
147c3bd01a
154cd65e39
hex317db040

830320704 has 42 divisors (see below), whose sum is σ = 2379966030. Its totient is φ = 276773376.

The previous prime is 830320661. The next prime is 830320717. The reversal of 830320704 is 407023038.

It can be written as a sum of positive squares in only one way, i.e., 443018304 + 387302400 = 21048^2 + 19680^2 .

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 5 ways as a sum of consecutive naturals, for example, 720189 + ... + 721340.

Almost surely, 2830320704 is an apocalyptic number.

It is an amenable number.

830320704 is an abundant number, since it is smaller than the sum of its proper divisors (1549645326).

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

830320704 is a wasteful number, since it uses less digits than its factorization.

830320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441547 (or 1441534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 830320704 is about 28815.2859434016. The cubic root of 830320704 is about 939.9006625069.

The spelling of 830320704 in words is "eight hundred thirty million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1441529 2883058 4324587 5766116 8649174 11532232 12973761 17298348 23064464 25947522 34596696 46128928 51895044 69193392 92257856 103790088 138386784 207580176 276773568 415160352 830320704