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306689166 = 23472291181
BaseRepresentation
bin10010010001111…
…011010010001110
3210101002102110000
4102101323102032
51112003023131
650233225130
710412546340
oct2221732216
9711072400
10306689166
11148133123
12868621a6
134b7006a4
142ca35290
151bdd0ce6
hex1247b48e

306689166 has 80 divisors (see below), whose sum is σ = 789481440. Its totient is φ = 87168960.

The previous prime is 306689099. The next prime is 306689167. The reversal of 306689166 is 661986603.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306689167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259096 + ... + 260276.

It is an arithmetic number, because the mean of its divisors is an integer number (9868518).

Almost surely, 2306689166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306689166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394740720).

306689166 is an abundant number, since it is smaller than the sum of its proper divisors (482792274).

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

306689166 is a wasteful number, since it uses less digits than its factorization.

306689166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 306689166 is about 17512.5431048720. The cubic root of 306689166 is about 674.3719194625.

The spelling of 306689166 in words is "three hundred six million, six hundred eighty-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 229 378 458 567 687 1134 1181 1374 1603 2061 2362 3206 3543 4122 4809 6183 7086 8267 9618 10629 12366 14427 16534 18549 21258 24801 28854 31887 37098 43281 49602 63774 74403 86562 95661 129843 148806 191322 223209 259686 270449 446418 540898 669627 811347 1339254 1622694 1893143 2434041 3786286 4868082 5679429 7302123 11358858 14604246 17038287 21906369 34076574 43812738 51114861 102229722 153344583 306689166