Search a number
-
+
286825340 = 22541349787
BaseRepresentation
bin10001000110001…
…001101101111100
3201222201020101202
4101012021231330
51041411402330
644243355032
710051655324
oct2106115574
9658636352
10286825340
111379a613a
1280082a78
1347567249
142a144284
151a2aa445
hex11189b7c

286825340 has 24 divisors (see below), whose sum is σ = 617026032. Its totient is φ = 111931520.

The previous prime is 286825327. The next prime is 286825367. The reversal of 286825340 is 43528682.

286825340 = T3720 + T3721 + ... + T3760.

It is a super-2 number, since 2×2868253402 = 164537551332231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286825294 and 286825303.

It is a congruent number.

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, 174074 + ... + 175713.

It is an arithmetic number, because the mean of its divisors is an integer number (25709418).

Almost surely, 2286825340 is an apocalyptic number.

286825340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286825340 is an abundant number, since it is smaller than the sum of its proper divisors (330200692).

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

286825340 is a wasteful number, since it uses less digits than its factorization.

286825340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349837 (or 349835 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 286825340 is about 16935.9186346652. The cubic root of 286825340 is about 659.4863925820.

The spelling of 286825340 in words is "two hundred eighty-six million, eight hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 349787 699574 1399148 1748935 3497870 6995740 14341267 28682534 57365068 71706335 143412670 286825340