Search a number
-
+
306366240 = 2535638263
BaseRepresentation
bin10010010000101…
…100011100100000
3210100111000110210
4102100230130200
51111412204430
650222254120
710410033015
oct2220543440
9710430423
10306366240
11147a32544
1286727340
134b6196cb
142c98d70c
151bd6a2b0
hex1242c720

306366240 has 48 divisors (see below), whose sum is σ = 965055168. Its totient is φ = 81697536.

The previous prime is 306366223. The next prime is 306366251. The reversal of 306366240 is 42663603.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 306366198 and 306366207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318652 + ... + 319611.

It is an arithmetic number, because the mean of its divisors is an integer number (20105316).

Almost surely, 2306366240 is an apocalyptic number.

306366240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306366240 is an abundant number, since it is smaller than the sum of its proper divisors (658688928).

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

306366240 is a wasteful number, since it uses less digits than its factorization.

306366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638281 (or 638273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 306366240 is about 17503.3208277744. The cubic root of 306366240 is about 674.1351447633.

The spelling of 306366240 in words is "three hundred six million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 638263 1276526 1914789 2553052 3191315 3829578 5106104 6382630 7659156 9573945 10212208 12765260 15318312 19147890 20424416 25530520 30636624 38295780 51061040 61273248 76591560 102122080 153183120 306366240