Search a number
-
+
306001300 = 2252111491867
BaseRepresentation
bin10010001111010…
…011010110010100
3210022210110212111
4102033103112110
51111314020200
650210400404
710403653033
oct2217232624
9708713774
10306001300
11147803340
1286590104
134b51c577
142c8d671a
151bce70ba
hex123d3594

306001300 has 72 divisors (see below), whose sum is σ = 729640800. Its totient is φ = 110467200.

The previous prime is 306001187. The next prime is 306001331. The reversal of 306001300 is 3100603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162967 + ... + 164833.

It is an arithmetic number, because the mean of its divisors is an integer number (10133900).

Almost surely, 2306001300 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 306001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364820400).

306001300 is an abundant number, since it is smaller than the sum of its proper divisors (423639500).

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

306001300 is a wasteful number, since it uses less digits than its factorization.

306001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 306001300 is about 17492.8928425232. The cubic root of 306001300 is about 673.8673643562.

Adding to 306001300 its reverse (3100603), we get a palindrome (309101903).

The spelling of 306001300 in words is "three hundred six million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 1867 2980 3278 3725 3734 6556 7450 7468 8195 9335 14900 16390 18670 20537 32780 37340 40975 41074 46675 81950 82148 93350 102685 163900 186700 205370 278183 410740 513425 556366 1026850 1112732 1390915 2053700 2781830 3060013 5563660 6120026 6954575 12240052 13909150 15300065 27818300 30600130 61200260 76500325 153000650 306001300