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830974194 = 23337478849
BaseRepresentation
bin110001100001111…
…010100011110010
32010220121212022000
4301201322203302
53200212133234
6214242354430
726410110201
oct6141724362
92126555260
10830974194
11397077236
121b235ba16
1310320940b
147c50d238
154ce44899
hex3187a8f2

830974194 has 64 divisors (see below), whose sum is σ = 1937088000. Its totient is φ = 263741184.

The previous prime is 830974181. The next prime is 830974211. The reversal of 830974194 is 491479038.

830974194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8309741942 = 1381036222187899272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89482 + ... + 98330.

It is an arithmetic number, because the mean of its divisors is an integer number (30267000).

Almost surely, 2830974194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830974194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968544000).

830974194 is an abundant number, since it is smaller than the sum of its proper divisors (1106113806).

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

830974194 is a wasteful number, since it uses less digits than its factorization.

830974194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 830974194 is about 28826.6230072133. The cubic root of 830974194 is about 940.1471755371.

The spelling of 830974194 in words is "eight hundred thirty million, nine hundred seventy-four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 94 111 141 222 282 333 423 666 846 999 1269 1739 1998 2538 3478 5217 8849 10434 15651 17698 26547 31302 46953 53094 79641 93906 159282 238923 327413 415903 477846 654826 831806 982239 1247709 1964478 2495418 2946717 3743127 5893434 7486254 8840151 11229381 15388411 17680302 22458762 30776822 46165233 92330466 138495699 276991398 415487097 830974194