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834231090 = 235711596121
BaseRepresentation
bin110001101110010…
…101101100110010
32011010202022220210
4301232111230302
53202030343330
6214440244550
726446563420
oct6156255462
92133668823
10834231090
113989a1190
121b3470756
13103aa9984
147cb1a110
154d3898b0
hex31b95b32

834231090 has 128 divisors (see below), whose sum is σ = 2538915840. Its totient is φ = 170380800.

The previous prime is 834231071. The next prime is 834231109. The reversal of 834231090 is 90132438.

It is an interprime number because it is at equal distance from previous prime (834231071) and next prime (834231109).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133230 + ... + 139350.

It is an arithmetic number, because the mean of its divisors is an integer number (19835280).

Almost surely, 2834231090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834231090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269457920).

834231090 is an abundant number, since it is smaller than the sum of its proper divisors (1704684750).

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

834231090 is a wasteful number, since it uses less digits than its factorization.

834231090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 834231090 is about 28883.0588754031. The cubic root of 834231090 is about 941.3738361500.

The spelling of 834231090 in words is "eight hundred thirty-four million, two hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 59 66 70 77 105 110 118 154 165 177 210 231 295 330 354 385 413 462 590 649 770 826 885 1155 1239 1298 1770 1947 2065 2310 2478 3245 3894 4130 4543 6121 6195 6490 9086 9735 12242 12390 13629 18363 19470 22715 27258 30605 36726 42847 45430 61210 67331 68145 85694 91815 128541 134662 136290 183630 201993 214235 257082 336655 361139 403986 428470 471317 642705 673310 722278 942634 1009965 1083417 1285410 1413951 1805695 2019930 2166834 2356585 2527973 2827902 3611390 3972529 4713170 5055946 5417085 7069755 7583919 7945058 10834170 11917587 12639865 14139510 15167838 19862645 23835174 25279730 27807703 37919595 39725290 55615406 59587935 75839190 83423109 119175870 139038515 166846218 278077030 417115545 834231090