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1917680328 = 233232218269
BaseRepresentation
bin111001001001101…
…0111101011001000
311221122110020212100
41302103113223020
512411411232303
6514142313400
765344004514
oct16223275310
94848406770
101917680328
118a4531683
12456288860
132473b41b5
1414298b144
15b35518a3
hex724d7ac8

1917680328 has 48 divisors (see below), whose sum is σ = 5195958300. Its totient is φ = 638951040.

The previous prime is 1917680327. The next prime is 1917680353. The reversal of 1917680328 is 8230867191.

1917680328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1636849764 + 280830564 = 40458^2 + 16758^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1917680327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227778 + ... + 236046.

Almost surely, 21917680328 is an apocalyptic number.

1917680328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1917680328 is an abundant number, since it is smaller than the sum of its proper divisors (3278277972).

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

1917680328 is a wasteful number, since it uses less digits than its factorization.

1917680328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1917680328 is about 43791.3270865362. The cubic root of 1917680328 is about 1242.3922617630.

The spelling of 1917680328 in words is "one billion, nine hundred seventeen million, six hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3221 6442 8269 9663 12884 16538 19326 24807 25768 28989 33076 38652 49614 57978 66152 74421 77304 99228 115956 148842 198456 231912 297684 595368 26634449 53268898 79903347 106537796 159806694 213075592 239710041 319613388 479420082 639226776 958840164 1917680328