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73681349 = 7217197449
BaseRepresentation
bin1000110010001…
…00100111000101
312010122101210212
410121010213011
5122330300344
611151125205
71553165300
oct431044705
9163571725
1073681349
1138655985
1220813805
131235a341
149addb37
15670679e
hex46449c5

73681349 has 24 divisors (see below), whose sum is σ = 91416600. Its totient is φ = 59006976.

The previous prime is 73681303. The next prime is 73681367. The reversal of 73681349 is 94318637.

It can be written as a sum of positive squares in 4 ways, for example, as 46485124 + 27196225 = 6818^2 + 5215^2 .

It is a de Polignac number, because none of the positive numbers 2k-73681349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163877 + ... + 164325.

It is an arithmetic number, because the mean of its divisors is an integer number (3809025).

Almost surely, 273681349 is an apocalyptic number.

It is an amenable number.

73681349 is a deficient number, since it is larger than the sum of its proper divisors (17735251).

73681349 is a wasteful number, since it uses less digits than its factorization.

73681349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 73681349 is about 8583.7840723075. The cubic root of 73681349 is about 419.2301638703.

The spelling of 73681349 in words is "seventy-three million, six hundred eighty-one thousand, three hundred forty-nine".

Divisors: 1 7 17 49 119 197 449 833 1379 3143 3349 7633 9653 22001 23443 53431 88453 164101 374017 619171 1503701 4334197 10525907 73681349