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330464064 = 2637245881
BaseRepresentation
bin10011101100100…
…111101101000000
3212000211022110210
4103230213231000
51134044322224
652442554120
711121620040
oct2354475500
9760738423
10330464064
1115a5a15a7
1292808940
1353606088
1431c63720
151e02a429
hex13b27b40

330464064 has 56 divisors (see below), whose sum is σ = 999264448. Its totient is φ = 94417920.

The previous prime is 330464053. The next prime is 330464089. The reversal of 330464064 is 460464033.

330464064 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 (56).

It is a congruent number.

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, 121597 + ... + 124284.

It is an arithmetic number, because the mean of its divisors is an integer number (17844008).

Almost surely, 2330464064 is an apocalyptic number.

It is an amenable number.

330464064 is an abundant number, since it is smaller than the sum of its proper divisors (668800384).

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

330464064 is a wasteful number, since it uses less digits than its factorization.

330464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245903 (or 245893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 330464064 is about 18178.6705784554. The cubic root of 330464064 is about 691.3660984142.

The spelling of 330464064 in words is "three hundred thirty million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 245881 491762 737643 983524 1475286 1721167 1967048 2950572 3442334 3934096 5163501 5901144 6884668 7868192 10327002 11802288 13769336 15736384 20654004 23604576 27538672 41308008 47209152 55077344 82616016 110154688 165232032 330464064