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834106260 = 2235132431913
BaseRepresentation
bin110001101101110…
…111001110010100
32011010111222200110
4301231313032110
53202012400020
6214433443020
726445533451
oct6155671624
92133458613
10834106260
11398916419
121b3410470
13103a64c00
147cac6828
154d3628e0
hex31b77394

834106260 has 144 divisors (see below), whose sum is σ = 2589136704. Its totient is φ = 200438784.

The previous prime is 834106193. The next prime is 834106261. The reversal of 834106260 is 62601438.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834106261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435064 + ... + 436976.

It is an arithmetic number, because the mean of its divisors is an integer number (17980116).

Almost surely, 2834106260 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 834106260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294568352).

834106260 is an abundant number, since it is smaller than the sum of its proper divisors (1755030444).

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

834106260 is a wasteful number, since it uses less digits than its factorization.

834106260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 834106260 is about 28880.8978392293. The cubic root of 834106260 is about 941.3268797134.

Adding to 834106260 its reverse (62601438), we get a palindrome (896707698).

The spelling of 834106260 in words is "eight hundred thirty-four million, one hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 169 172 195 215 258 260 338 390 430 507 516 559 645 676 780 845 860 1014 1118 1290 1677 1690 1913 2028 2236 2535 2580 2795 3354 3380 3826 5070 5590 5739 6708 7267 7652 8385 9565 10140 11180 11478 14534 16770 19130 21801 22956 24869 28695 29068 33540 36335 38260 43602 49738 57390 72670 74607 82259 87204 99476 109005 114780 124345 145340 149214 164518 218010 246777 248690 298428 323297 329036 373035 411295 436020 493554 497380 646594 746070 822590 969891 987108 1069367 1233885 1293188 1492140 1616485 1645180 1939782 2138734 2467770 3208101 3232970 3879564 4277468 4849455 4935540 5346835 6416202 6465940 9698910 10693670 12832404 13901771 16040505 19397820 21387340 27803542 32081010 41705313 55607084 64162020 69508855 83410626 139017710 166821252 208526565 278035420 417053130 834106260