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1680348345 = 35138617171
BaseRepresentation
bin110010000101000…
…0001010010111001
311100002212112120220
41210022001102321
511420132121340
6434423410253
756432503524
oct14412012271
94302775526
101680348345
11792570645
123aa8b3989
1320a188880
1411d24bbbb
159c7c0ed0
hex642814b9

1680348345 has 16 divisors (see below), whose sum is σ = 2895369792. Its totient is φ = 827248320.

The previous prime is 1680348337. The next prime is 1680348349. The reversal of 1680348345 is 5438430861.

It is not a de Polignac number, because 1680348345 - 23 = 1680348337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1680348297 and 1680348306.

It is not an unprimeable number, because it can be changed into a prime (1680348349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4308391 + ... + 4308780.

It is an arithmetic number, because the mean of its divisors is an integer number (180960612).

Almost surely, 21680348345 is an apocalyptic number.

1680348345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1680348345 is a deficient number, since it is larger than the sum of its proper divisors (1215021447).

1680348345 is a wasteful number, since it uses less digits than its factorization.

1680348345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617192.

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1680348345 is about 40992.0522174726. The cubic root of 1680348345 is about 1188.8665489813.

The spelling of 1680348345 in words is "one billion, six hundred eighty million, three hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 8617171 25851513 43085855 112023223 129257565 336069669 560116115 1680348345