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330206048 = 2531367907
BaseRepresentation
bin10011101011101…
…000101101100000
3212000100012112122
4103223220231200
51134013043143
652433243412
711116463564
oct2353505540
9760305478
10330206048
1115a435767
1292703568
13535457c3
1431bd76a4
151dec8c68
hex13ae8b60

330206048 has 48 divisors (see below), whose sum is σ = 673634304. Its totient is φ = 159166080.

The previous prime is 330206047. The next prime is 330206053. The reversal of 330206048 is 840602033.

330206048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330206047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363611 + ... + 364517.

It is an arithmetic number, because the mean of its divisors is an integer number (14034048).

Almost surely, 2330206048 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 330206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336817152).

330206048 is an abundant number, since it is smaller than the sum of its proper divisors (343428256).

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

330206048 is a wasteful number, since it uses less digits than its factorization.

330206048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 330206048 is about 18171.5725241378. The cubic root of 330206048 is about 691.1861192271.

The spelling of 330206048 in words is "three hundred thirty million, two hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 367 496 734 907 992 1468 1814 2936 3628 5872 7256 11377 11744 14512 22754 28117 29024 45508 56234 91016 112468 182032 224936 332869 364064 449872 665738 899744 1331476 2662952 5325904 10318939 10651808 20637878 41275756 82551512 165103024 330206048