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830204235 = 3457292841
BaseRepresentation
bin110001011110111…
…110100101001011
32010212011202010000
4301132332211023
53200013013420
6214214054043
726400422340
oct6136764513
92125152100
10830204235
113966a0803
121b204a323
13102cc9b13
147c38c7c7
154cd41690
hex317be94b

830204235 has 40 divisors (see below), whose sum is σ = 1700826336. Its totient is φ = 379520640.

The previous prime is 830204227. The next prime is 830204267. The reversal of 830204235 is 532402038.

It is not a de Polignac number, because 830204235 - 23 = 830204227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 830204199 and 830204208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143586 + ... + 149255.

Almost surely, 2830204235 is an apocalyptic number.

830204235 is an abundant number, since it is smaller than the sum of its proper divisors (870622101).

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

830204235 is a wasteful number, since it uses less digits than its factorization.

830204235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292865 (or 292856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 830204235 is about 28813.2649139246. The cubic root of 830204235 is about 939.8567138621.

The spelling of 830204235 in words is "eight hundred thirty million, two hundred four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 292841 878523 1464205 2049887 2635569 4392615 6149661 7906707 10249435 13177845 18448983 23720121 30748305 39533535 55346949 92244915 118600605 166040847 276734745 830204235