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1670963328 = 27321450489
BaseRepresentation
bin110001110011000…
…1110000010000000
311022110012201202200
41203212032002000
511410231311303
6433450313200
756256645126
oct14346160200
94273181680
101670963328
11788240531
123a7728800
13208250bc8
1411bcc7916
159ba6a3a3
hex6398e080

1670963328 has 48 divisors (see below), whose sum is σ = 4808374350. Its totient is φ = 556987392.

The previous prime is 1670963321. The next prime is 1670963339. The reversal of 1670963328 is 8233690761.

1670963328 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 9 + 633 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1498618944 + 172344384 = 38712^2 + 13128^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1670963321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724093 + ... + 726396.

Almost surely, 21670963328 is an apocalyptic number.

1670963328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1670963328 is an abundant number, since it is smaller than the sum of its proper divisors (3137411022).

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

1670963328 is a wasteful number, since it uses less digits than its factorization.

1670963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450509 (or 1450494 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1670963328 is about 40877.4183137830. The cubic root of 1670963328 is about 1186.6490782788.

The spelling of 1670963328 in words is "one billion, six hundred seventy million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1450489 2900978 4351467 5801956 8702934 11603912 13054401 17405868 23207824 26108802 34811736 46415648 52217604 69623472 92831296 104435208 139246944 185662592 208870416 278493888 417740832 556987776 835481664 1670963328