Search a number
-
+
834487350 = 235241472887
BaseRepresentation
bin110001101111010…
…100010000110110
32011011020100102220
4301233110100312
53202112043400
6214445543210
726452011504
oct6157242066
92134210386
10834487350
11399056774
121b3574b06
13103b694c8
147cb85674
154d3da7a0
hex31bd4436

834487350 has 96 divisors (see below), whose sum is σ = 2165861376. Its totient is φ = 212409600.

The previous prime is 834487333. The next prime is 834487363. The reversal of 834487350 is 53784438.

834487350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8344873503 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287607 + ... + 290493.

It is an arithmetic number, because the mean of its divisors is an integer number (22561056).

Almost surely, 2834487350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834487350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082930688).

834487350 is an abundant number, since it is smaller than the sum of its proper divisors (1331374026).

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

834487350 is a wasteful number, since it uses less digits than its factorization.

834487350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 834487350 is about 28887.4946992639. The cubic root of 834487350 is about 941.4702170230.

The spelling of 834487350 in words is "eight hundred thirty-four million, four hundred eighty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 47 50 75 82 94 123 141 150 205 235 246 282 410 470 615 705 1025 1175 1230 1410 1927 2050 2350 2887 3075 3525 3854 5774 5781 6150 7050 8661 9635 11562 14435 17322 19270 28870 28905 43305 48175 57810 72175 86610 96350 118367 135689 144350 144525 216525 236734 271378 289050 355101 407067 433050 591835 678445 710202 814134 1183670 1356890 1775505 2035335 2959175 3392225 3551010 4070670 5563249 5918350 6784450 8877525 10176675 11126498 16689747 17755050 20353350 27816245 33379494 55632490 83448735 139081225 166897470 278162450 417243675 834487350