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834053140 = 225232312543
BaseRepresentation
bin110001101101101…
…010010000010100
32011010102021211001
4301231222100110
53202004200030
6214432353044
726445222544
oct6155522024
92133367731
10834053140
1139888a518
121b33a5784
13103a4698b
147cab1324
154d351cca
hex31b6a414

834053140 has 72 divisors (see below), whose sum is σ = 1890782208. Its totient is φ = 308700480.

The previous prime is 834053107. The next prime is 834053141. The reversal of 834053140 is 41350438.

It is a junction number, because it is equal to n+sod(n) for n = 834053099 and 834053108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834053141) 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 23 ways as a sum of consecutive naturals, for example, 326709 + ... + 329251.

It is an arithmetic number, because the mean of its divisors is an integer number (26260864).

Almost surely, 2834053140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945391104).

834053140 is an abundant number, since it is smaller than the sum of its proper divisors (1056729068).

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

834053140 is a wasteful number, since it uses less digits than its factorization.

834053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 834053140 is about 28879.9781855873. The cubic root of 834053140 is about 941.3068965099.

The spelling of 834053140 in words is "eight hundred thirty-four million, fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 529 620 713 1058 1426 2116 2543 2645 2852 3565 5086 5290 7130 10172 10580 12715 14260 16399 25430 32798 50860 58489 65596 78833 81995 116978 157666 163990 233956 292445 315332 327980 394165 584890 788330 1169780 1345247 1576660 1813159 2690494 3626318 5380988 6726235 7252636 9065795 13452470 18131590 26904940 36263180 41702657 83405314 166810628 208513285 417026570 834053140