Search a number
-
+
834295140 = 22345773571
BaseRepresentation
bin110001101110100…
…101010101100100
32011010212120210000
4301232211111210
53202034421030
6214441501300
726450251230
oct6156452544
92133776700
10834295140
11398a35318
121b34a1830
13103accb83
147cb355c0
154d39d860
hex31ba5564

834295140 has 120 divisors (see below), whose sum is σ = 2991143232. Its totient is φ = 190693440.

The previous prime is 834295139. The next prime is 834295153. The reversal of 834295140 is 41592438.

834295140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 834295095 and 834295104.

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, 25446 + ... + 48125.

Almost surely, 2834295140 is an apocalyptic number.

It is an amenable number.

834295140 is an abundant number, since it is smaller than the sum of its proper divisors (2156848092).

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

834295140 is a wasteful number, since it uses less digits than its factorization.

834295140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73599 (or 73588 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 834295140 is about 28884.1676355750. The cubic root of 834295140 is about 941.3979275765.

The spelling of 834295140 in words is "eight hundred thirty-four million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 73571 147142 220713 294284 367855 441426 514997 662139 735710 882852 1029994 1103565 1324278 1471420 1544991 1986417 2059988 2207130 2574985 2648556 3089982 3310695 3972834 4414260 4634973 5149970 5959251 6179964 6621390 7724955 7945668 9269946 9932085 10299940 11918502 13242780 13904919 15449910 18539892 19864170 23174865 23837004 27809838 29796255 30899820 39728340 41714757 46349730 55619676 59592510 69524595 83429514 92699460 119185020 139049190 166859028 208573785 278098380 417147570 834295140