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305006886 = 232192633391
BaseRepresentation
bin10010001011100…
…000100100100110
3210020220221210100
4102023200210212
51111040210021
650133204530
710362341622
oct2213404446
9706827710
10305006886
11147194208
1286190746
134b261a62
142c718182
151bb9c626
hex122e0926

305006886 has 48 divisors (see below), whose sum is σ = 698480640. Its totient is φ = 95923440.

The previous prime is 305006851. The next prime is 305006951. The reversal of 305006886 is 688600503.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 305006886.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88251 + ... + 91641.

It is an arithmetic number, because the mean of its divisors is an integer number (14551680).

Almost surely, 2305006886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305006886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349240320).

305006886 is an abundant number, since it is smaller than the sum of its proper divisors (393473754).

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

305006886 is a wasteful number, since it uses less digits than its factorization.

305006886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3678 counting only the distinct ones).

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

The square root of 305006886 is about 17464.4463410668. The cubic root of 305006886 is about 673.1366154631.

The spelling of 305006886 in words is "three hundred five million, six thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 263 342 526 789 1578 2367 3391 4734 4997 6782 9994 10173 14991 20346 29982 30519 44973 61038 64429 89946 128858 193287 386574 579861 891833 1159722 1783666 2675499 5350998 8026497 16052994 16944827 33889654 50834481 101668962 152503443 305006886