Search a number
-
+
330539648 = 273771983
BaseRepresentation
bin10011101100111…
…010001010000000
3212000222011011012
4103230322022000
51134104232043
652444340052
711122353305
oct2354721200
9760864135
10330539648
1115a64336a
1292844628
13536315ba
1431c830ac
151e042a18
hex13b3a280

330539648 has 64 divisors (see below), whose sum is σ = 686517120. Its totient is φ = 158376960.

The previous prime is 330539633. The next prime is 330539683. The reversal of 330539648 is 846935033.

330539648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 335765 + ... + 336747.

It is an arithmetic number, because the mean of its divisors is an integer number (10726830).

Almost surely, 2330539648 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 330539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343258560).

330539648 is an abundant number, since it is smaller than the sum of its proper divisors (355977472).

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

330539648 is an equidigital number, since it uses as much as digits as its factorization.

330539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 330539648 is about 18180.7493794948. The cubic root of 330539648 is about 691.4188043283.

The spelling of 330539648 in words is "three hundred thirty million, five hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 142 148 284 296 568 592 983 1136 1184 1966 2272 2368 2627 3932 4544 4736 5254 7864 9088 10508 15728 21016 31456 36371 42032 62912 69793 72742 84064 125824 139586 145484 168128 279172 290968 336256 558344 581936 1116688 1163872 2233376 2327744 2582341 4466752 4655488 5164682 8933504 10329364 20658728 41317456 82634912 165269824 330539648