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3330214816 = 25198961543
BaseRepresentation
bin1100011001111111…
…0000101110100000
322121002101102220111
43012133300232200
523310013333231
61310242021104
7145345234045
oct30637605640
98532342814
103330214816
111459901755
1278b347794
13410c31016
142384031cc
151475704b1
hexc67f0ba0

3330214816 has 48 divisors (see below), whose sum is σ = 6979089600. Its totient is φ = 1559720448.

The previous prime is 3330214801. The next prime is 3330214817. The reversal of 3330214816 is 6184120333.

3330214816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33302148162 = 22180661441411827712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330214817) 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, 23341 + ... + 84883.

It is an arithmetic number, because the mean of its divisors is an integer number (145397700).

Almost surely, 23330214816 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 3330214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489544800).

3330214816 is an abundant number, since it is smaller than the sum of its proper divisors (3648874784).

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

3330214816 is a wasteful number, since it uses less digits than its factorization.

3330214816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61661 (or 61653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3330214816 is about 57708.0134470075. The cubic root of 3330214816 is about 1493.3355922231.

The spelling of 3330214816 in words is "three billion, three hundred thirty million, two hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 304 356 608 712 1424 1691 2848 3382 6764 13528 27056 54112 61543 123086 246172 492344 984688 1169317 1969376 2338634 4677268 5477327 9354536 10954654 18709072 21909308 37418144 43818616 87637232 104069213 175274464 208138426 416276852 832553704 1665107408 3330214816