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1680344379 = 33717836301
BaseRepresentation
bin110010000101000…
…0000010100111011
311100002212100011000
41210022000110323
511420132010004
6434423340043
756432456130
oct14412002473
94302770130
101680344379
1179256866a
123aa8b1623
1320a186b1c
1411d24a587
159c7bec39
hex6428053b

1680344379 has 64 divisors (see below), whose sum is σ = 3049159680. Its totient is φ = 892684800.

The previous prime is 1680344353. The next prime is 1680344387. The reversal of 1680344379 is 9734430861.

It is not a de Polignac number, because 1680344379 - 27 = 1680344251 is a prime.

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 (1680345379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263529 + ... + 269829.

It is an arithmetic number, because the mean of its divisors is an integer number (47643120).

Almost surely, 21680344379 is an apocalyptic number.

1680344379 is a deficient number, since it is larger than the sum of its proper divisors (1368815301).

1680344379 is a wasteful number, since it uses less digits than its factorization.

1680344379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1680344379 is about 40992.0038422129. The cubic root of 1680344379 is about 1188.8656136497.

The spelling of 1680344379 in words is "one billion, six hundred eighty million, three hundred forty-four thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 17 21 27 51 63 83 119 153 189 249 357 459 581 747 1071 1411 1743 2241 3213 4233 5229 6301 9877 12699 15687 18903 29631 38097 44107 56709 88893 107117 132321 170127 266679 321351 396963 522983 749819 964053 1190889 1568949 2249457 2892159 3660881 4706847 6748371 8890711 10982643 14120541 20245113 26672133 32947929 62234977 80016399 98843787 186704931 240049197 560114793 1680344379