[go: up one dir, main page]

Search a number
-
+
305100864 = 2633383461
BaseRepresentation
bin10010001011110…
…111100001000000
3210021002201201000
4102023313201000
51111101211424
650135212000
710363212615
oct2213674100
9707081630
10305100864
11147248882
1286217000
134b295773
142c74050c
151bbba3c9
hex122f7840

305100864 has 112 divisors (see below), whose sum is σ = 901232640. Its totient is φ = 101214720.

The previous prime is 305100847. The next prime is 305100871. The reversal of 305100864 is 468001503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661594 + ... + 662054.

It is an arithmetic number, because the mean of its divisors is an integer number (8046720).

Almost surely, 2305100864 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 305100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

305100864 is an abundant number, since it is smaller than the sum of its proper divisors (596131776).

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

305100864 is a wasteful number, since it uses less digits than its factorization.

305100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 305100864 is about 17467.1366857880. The cubic root of 305100864 is about 673.2057434508.

The spelling of 305100864 in words is "three hundred five million, one hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 383 432 461 576 766 864 922 1149 1383 1532 1728 1844 2298 2766 3064 3447 3688 4149 4596 5532 6128 6894 7376 8298 9192 10341 11064 12256 12447 13788 14752 16596 18384 20682 22128 24512 24894 27576 29504 33192 36768 41364 44256 49788 55152 66384 73536 82728 88512 99576 110304 132768 165456 176563 199152 220608 265536 330912 353126 398304 529689 661824 706252 796608 1059378 1412504 1589067 2118756 2825008 3178134 4237512 4767201 5650016 6356268 8475024 9534402 11300032 12712536 16950048 19068804 25425072 33900096 38137608 50850144 76275216 101700288 152550432 305100864