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834334074 = 23372437333
BaseRepresentation
bin110001101110101…
…110110101111010
32011010221120012000
4301232232311322
53202042142244
6214442401430
726450502600
oct6156566572
92133846160
10834334074
11398a615a2
121b3500276
13103b14802
147cb45870
154d3aa169
hex31baed7a

834334074 has 96 divisors (see below), whose sum is σ = 2207240640. Its totient is φ = 232805664.

The previous prime is 834334063. The next prime is 834334129. The reversal of 834334074 is 470433438.

It is a happy number.

It is a super-2 number, since 2×8343340742 = 1392226694074874952, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 110112 + ... + 117444.

It is an arithmetic number, because the mean of its divisors is an integer number (22992090).

Almost surely, 2834334074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834334074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103620320).

834334074 is an abundant number, since it is smaller than the sum of its proper divisors (1372906566).

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

834334074 is a wasteful number, since it uses less digits than its factorization.

834334074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 834334074 is about 28884.8415955497. The cubic root of 834334074 is about 941.4125714018.

The spelling of 834334074 in words is "eight hundred thirty-four million, three hundred thirty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 86 98 126 129 147 189 258 294 301 378 387 441 602 774 882 903 1161 1323 1806 2107 2322 2646 2709 4214 5418 6321 7333 8127 12642 14666 16254 18963 21999 37926 43998 51331 56889 65997 102662 113778 131994 153993 197991 307986 315319 359317 395982 461979 630638 718634 923958 945957 1077951 1385937 1891914 2155902 2207233 2771874 2837871 3233853 4414466 5675742 6467706 6621699 8513613 9701559 13243398 15450631 17027226 19403118 19865097 30901262 39730194 46351893 59595291 92703786 119190582 139055679 278111358 417167037 834334074