Search a number
-
+
306250000 = 245872
BaseRepresentation
bin10010010000010…
…000000100010000
3210100021010000121
4102100100010100
51111400000000
650220000024
710406040100
oct2220200420
9710233017
10306250000
11147963181
1286690014
134b5a8824
142c95d200
151bd45b1a
hex12410110

306250000 has 135 divisors (see below), whose sum is σ = 862792527. Its totient is φ = 105000000.

The previous prime is 306249967. The next prime is 306250069. The reversal of 306250000 is 52603.

The square root of 306250000 is 17500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 217739536 + 88510464 = 14756^2 + 9408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43749997 + ... + 43750003.

Almost surely, 2306250000 is an apocalyptic number.

306250000 is the 17500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306250000

306250000 is an abundant number, since it is smaller than the sum of its proper divisors (556542527).

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

306250000 is an frugal number, since it uses more digits than its factorization.

306250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The cubic root of 306250000 is about 674.0498749440.

Multiplying 306250000 by its sum of digits (16), we get a square (4900000000 = 700002).

306250000 divided by its sum of digits (16) gives a square (19140625 = 43752).

The spelling of 306250000 in words is "three hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3125 3500 3920 4375 4900 5000 6125 6250 7000 8750 9800 10000 12250 12500 14000 15625 17500 19600 21875 24500 25000 30625 31250 35000 43750 49000 50000 61250 62500 70000 78125 87500 98000 109375 122500 125000 153125 156250 175000 218750 245000 250000 306250 312500 350000 390625 437500 490000 546875 612500 625000 765625 781250 875000 1093750 1225000 1250000 1531250 1562500 1750000 2187500 2450000 2734375 3062500 3125000 3828125 4375000 5468750 6125000 6250000 7656250 8750000 10937500 12250000 15312500 19140625 21875000 30625000 38281250 43750000 61250000 76562500 153125000 306250000