Search a number
-
+
306365106 = 232329372069
BaseRepresentation
bin10010010000101…
…100001010110010
3210100110221220210
4102100230022302
51111412140411
650222244550
710410026505
oct2220541262
9710427823
10306365106
11147a31703
1286726756
134b619038
142c98d13c
151bd69ca6
hex1242c2b2

306365106 has 64 divisors (see below), whose sum is σ = 679622400. Its totient is φ = 91719936.

The previous prime is 306365099. The next prime is 306365117. The reversal of 306365106 is 601563603.

306365106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 147040 + ... + 149108.

It is an arithmetic number, because the mean of its divisors is an integer number (10619100).

Almost surely, 2306365106 is an apocalyptic number.

306365106 is an abundant number, since it is smaller than the sum of its proper divisors (373257294).

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

306365106 is a wasteful number, since it uses less digits than its factorization.

306365106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 306365106 is about 17503.2884338915. The cubic root of 306365106 is about 674.1343130026.

The spelling of 306365106 in words is "three hundred six million, three hundred sixty-five thousand, one hundred six".

Divisors: 1 2 3 6 23 29 37 46 58 69 74 87 111 138 174 222 667 851 1073 1334 1702 2001 2069 2146 2553 3219 4002 4138 5106 6207 6438 12414 24679 47587 49358 60001 74037 76553 95174 120002 142761 148074 153106 180003 229659 285522 360006 459318 1380023 1760719 2220037 2760046 3521438 4140069 4440074 5282157 6660111 8280138 10564314 13320222 51060851 102121702 153182553 306365106