Search a number
-
+
330632064 = 2733779173
BaseRepresentation
bin10011101101010…
…000101110000000
3212001010211221000
4103231100232000
51134120211224
652450332000
711123216610
oct2355205600
9761124830
10330632064
1115a6a6844
129288a000
1353664699
1431ca8a40
151e0600c9
hex13b50b80

330632064 has 256 divisors, whose sum is σ = 1135872000. Its totient is φ = 92731392.

The previous prime is 330632059. The next prime is 330632087. The reversal of 330632064 is 460236033.

330632064 is a `hidden beast` number, since 330 + 6 + 320 + 6 + 4 = 666.

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

It is a congruent number.

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, 1911082 + ... + 1911254.

It is an arithmetic number, because the mean of its divisors is an integer number (4437000).

Almost surely, 2330632064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567936000).

330632064 is an abundant number, since it is smaller than the sum of its proper divisors (805239936).

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

330632064 is a wasteful number, since it uses less digits than its factorization.

330632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 330632064 is about 18183.2907912732. The cubic root of 330632064 is about 691.4832365443.

Adding to 330632064 its reverse (460236033), we get a palindrome (790868097).

The spelling of 330632064 in words is "three hundred thirty million, six hundred thirty-two thousand, sixty-four".