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830386100 = 22528303861
BaseRepresentation
bin110001011111101…
…010111110110100
32010212111222120202
4301133222332310
53200034323400
6214222020032
726402110505
oct6137527664
92125458522
10830386100
11396805405
121b2117618
1310306182b
147c3d8bac
154cd7a4d5
hex317eafb4

830386100 has 18 divisors (see below), whose sum is σ = 1801938054. Its totient is φ = 332154400.

The previous prime is 830386099. The next prime is 830386111. The reversal of 830386100 is 1683038.

It can be written as a sum of positive squares in 3 ways, for example, as 30514576 + 799871524 = 5524^2 + 28282^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4151831 + ... + 4152030.

Almost surely, 2830386100 is an apocalyptic number.

It is an amenable number.

830386100 is an abundant number, since it is smaller than the sum of its proper divisors (971551954).

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

830386100 is a wasteful number, since it uses less digits than its factorization.

830386100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303875 (or 8303868 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 830386100 is about 28816.4206660022. The cubic root of 830386100 is about 939.9253373624.

The spelling of 830386100 in words is "eight hundred thirty million, three hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8303861 16607722 33215444 41519305 83038610 166077220 207596525 415193050 830386100