Search a number
-
+
330730560 = 26335101379
BaseRepresentation
bin10011101101101…
…000110001000000
3212001022212001000
4103231220301000
51134131334220
652452412000
711124110016
oct2355506100
9761285030
10330730560
1115a763846
1292917000
135369a474
1431cd28b6
151e07e390
hex13b68c40

330730560 has 224 divisors, whose sum is σ = 1181404800. Its totient is φ = 87091200.

The previous prime is 330730553. The next prime is 330730573. The reversal of 330730560 is 65037033.

330730560 is a `hidden beast` number, since 3 + 30 + 73 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872451 + ... + 872829.

Almost surely, 2330730560 is an apocalyptic number.

330730560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590702400).

330730560 is an abundant number, since it is smaller than the sum of its proper divisors (850674240).

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

330730560 is a wasteful number, since it uses less digits than its factorization.

330730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 330730560 is about 18185.9990102276. Note that the first 3 decimals coincide. The cubic root of 330730560 is about 691.5518945060.

Adding to 330730560 its reverse (65037033), we get a palindrome (395767593).

The spelling of 330730560 in words is "three hundred thirty million, seven hundred thirty thousand, five hundred sixty".