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834555030 = 235314761313
BaseRepresentation
bin110001101111100…
…100110010010110
32011011100210021120
4301233210302112
53202121230110
6214451224410
726452413021
oct6157446226
92134323246
10834555030
113990a2601
121b35a8106
13103b9125a
147cba21b8
154d400870
hex31be4c96

834555030 has 128 divisors (see below), whose sum is σ = 2153005056. Its totient is φ = 206668800.

The previous prime is 834554933. The next prime is 834555037. The reversal of 834555030 is 30555438.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 834554982 and 834555000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834555037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2666154 + ... + 2666466.

It is an arithmetic number, because the mean of its divisors is an integer number (16820352).

Almost surely, 2834555030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834555030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076502528).

834555030 is an abundant number, since it is smaller than the sum of its proper divisors (1318450026).

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

834555030 is a wasteful number, since it uses less digits than its factorization.

834555030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 834555030 is about 28888.6661166624. Note that the first 3 decimals coincide. The cubic root of 834555030 is about 941.4956685699.

The spelling of 834555030 in words is "eight hundred thirty-four million, five hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 61 62 93 94 122 141 155 183 186 235 282 305 310 313 366 465 470 610 626 705 915 930 939 1410 1457 1565 1830 1878 1891 2867 2914 3130 3782 4371 4695 5673 5734 7285 8601 8742 9390 9455 9703 11346 14335 14570 14711 17202 18910 19093 19406 21855 28365 28670 29109 29422 38186 43005 43710 44133 48515 56730 57279 58218 73555 86010 88266 88877 95465 97030 114558 145545 147110 177754 190930 220665 266631 286395 291090 441330 444385 456041 533262 572790 591883 888770 897371 912082 1183766 1333155 1368123 1775649 1794742 2280205 2666310 2692113 2736246 2959415 3551298 4486855 4560410 5384226 5918830 6840615 8878245 8973710 13460565 13681230 17756490 26921130 27818501 55637002 83455503 139092505 166911006 278185010 417277515 834555030