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830656134 = 2367311151
BaseRepresentation
bin110001100000101…
…100111010000110
32010220000201000000
4301200230322012
53200121444014
6214231502130
726404314000
oct6140547206
92126021000
10830656134
1139697a280
121b2227946
13103127709
147c469370
154cdd0509
hex3182ce86

830656134 has 224 divisors, whose sum is σ = 2392358400. Its totient is φ = 214326000.

The previous prime is 830656133. The next prime is 830656153. The reversal of 830656134 is 431656038.

830656134 is a `hidden beast` number, since 8 + 30 + 6 + 5 + 613 + 4 = 666.

It is a super-2 number, since 2×8306561342 = 1379979225903651912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830656133) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 5500959 + ... + 5501109.

Almost surely, 2830656134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830656134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196179200).

830656134 is an abundant number, since it is smaller than the sum of its proper divisors (1561702266).

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

830656134 is a wasteful number, since it uses less digits than its factorization.

830656134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 830656134 is about 28821.1057039802. The cubic root of 830656134 is about 940.0272113746.

The spelling of 830656134 in words is "eight hundred thirty million, six hundred fifty-six thousand, one hundred thirty-four".