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1694380968 = 2332719317419
BaseRepresentation
bin110010011111110…
…0011001110101000
311101002021110201200
41210333203032220
511432230142333
6440044244200
756663000130
oct14477431650
94332243650
101694380968
1179a485555
123b3540660
1321005cab7
14121061ac0
159db43c13
hex64fe33a8

1694380968 has 96 divisors (see below), whose sum is σ = 5271988800. Its totient is φ = 481572864.

The previous prime is 1694380967. The next prime is 1694381011. The reversal of 1694380968 is 8690834961.

It is a super-3 number, since 3×16943809683 (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) 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 (1694380967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88563 + ... + 105981.

It is an arithmetic number, because the mean of its divisors is an integer number (54916550).

Almost surely, 21694380968 is an apocalyptic number.

1694380968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1694380968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635994400).

1694380968 is an abundant number, since it is smaller than the sum of its proper divisors (3577607832).

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

1694380968 is a wasteful number, since it uses less digits than its factorization.

1694380968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1694380968 is about 41162.8590843736. The cubic root of 1694380968 is about 1192.1667953463.

The spelling of 1694380968 in words is "one billion, six hundred ninety-four million, three hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 386 504 579 772 1158 1351 1544 1737 2316 2702 3474 4053 4632 5404 6948 8106 10808 12159 13896 16212 17419 24318 32424 34838 48636 52257 69676 97272 104514 121933 139352 156771 209028 243866 313542 365799 418056 487732 627084 731598 975464 1097397 1254168 1463196 2194794 2926392 3361867 4389588 6723734 8779176 10085601 13447468 20171202 23533069 26894936 30256803 40342404 47066138 60513606 70599207 80684808 94132276 121027212 141198414 188264552 211797621 242054424 282396828 423595242 564793656 847190484 1694380968