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1680348376 = 23724499547
BaseRepresentation
bin110010000101000…
…0001010011011000
311100002212112122001
41210022001103120
511420132122001
6434423410344
756432503600
oct14412012330
94302775561
101680348376
11792570673
123aa8b39b4
1320a1888a5
1411d24bc00
159c7c1001
hex642814d8

1680348376 has 48 divisors (see below), whose sum is σ = 3673593000. Its totient is φ = 718470144.

The previous prime is 1680348349. The next prime is 1680348401. The reversal of 1680348376 is 6738430861.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 171235 + ... + 180781.

Almost surely, 21680348376 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 1680348376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836796500).

1680348376 is an abundant number, since it is smaller than the sum of its proper divisors (1993244624).

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

1680348376 is a wasteful number, since it uses less digits than its factorization.

1680348376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 1680348376 is about 40992.0525955947. The cubic root of 1680348376 is about 1188.8665562922.

The spelling of 1680348376 in words is "one billion, six hundred eighty million, three hundred forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 449 898 1796 3143 3592 6286 9547 12572 19094 22001 25144 38188 44002 66829 76376 88004 133658 176008 267316 467803 534632 935606 1871212 3742424 4286603 8573206 17146412 30006221 34292824 60012442 120024884 210043547 240049768 420087094 840174188 1680348376