Search a number
-
+
368000768 = 281784559
BaseRepresentation
bin10101111011110…
…011111100000000
3221122110101011002
4111323303330000
51223202011033
6100303311132
712055645352
oct2573637400
9848411132
10368000768
111797aa473
12a32ab4a8
135b319645
1436c350d2
15224923e8
hex15ef3f00

368000768 has 36 divisors (see below), whose sum is σ = 777782880. Its totient is φ = 173174784.

The previous prime is 368000761. The next prime is 368000771. The reversal of 368000768 is 867000863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368000761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37928 + ... + 46631.

It is an arithmetic number, because the mean of its divisors is an integer number (21605080).

Almost surely, 2368000768 is an apocalyptic number.

It is an amenable number.

368000768 is an abundant number, since it is smaller than the sum of its proper divisors (409782112).

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

368000768 is an equidigital number, since it uses as much as digits as its factorization.

368000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84592 (or 84578 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 368000768 is about 19183.3461106242. The cubic root of 368000768 is about 716.6100727139.

The spelling of 368000768 in words is "three hundred sixty-eight million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 84559 169118 338236 676472 1352944 1437503 2705888 2875006 5411776 5750012 10823552 11500024 21647104 23000048 46000096 92000192 184000384 368000768