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3968349 = 371141419
BaseRepresentation
bin1111001000110101011101
321110121112220
433020311131
52003441344
6221015553
745505350
oct17106535
97417486
103968349
112270530
1213b45b9
13a8c348
14754297
15535c19
hex3c8d5d

3968349 has 32 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 2006400.

The previous prime is 3968339. The next prime is 3968357. The reversal of 3968349 is 9438693.

It is not a de Polignac number, because 3968349 - 29 = 3967837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3968349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9262 + ... + 9680.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 23968349 is an apocalyptic number.

It is an amenable number.

3968349 is a deficient number, since it is larger than the sum of its proper divisors (2805411).

3968349 is a wasteful number, since it uses less digits than its factorization.

3968349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its digits is 139968, while the sum is 42.

The square root of 3968349 is about 1992.0715348601. The cubic root of 3968349 is about 158.3203057302.

The spelling of 3968349 in words is "three million, nine hundred sixty-eight thousand, three hundred forty-nine".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 419 451 861 1257 1353 2933 3157 4609 8799 9471 13827 17179 32263 51537 96789 120253 188969 360759 566907 1322783 3968349