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13313349 = 337229347
BaseRepresentation
bin110010110010…
…010101000101
3221001101111000
4302302111011
511402011344
61153203513
7221106300
oct62622505
927041430
1013313349
117573575
124560599
1329b1a2a
141aa7b37
15127ea69
hexcb2545

13313349 has 48 divisors (see below), whose sum is σ = 23803200. Its totient is φ = 7324128.

The previous prime is 13313341. The next prime is 13313383. The reversal of 13313349 is 94331331.

13313349 is a `hidden beast` number, since 1 + 3 + 313 + 349 = 666.

It is not a de Polignac number, because 13313349 - 23 = 13313341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313341) 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 47 ways as a sum of consecutive naturals, for example, 38194 + ... + 38540.

It is an arithmetic number, because the mean of its divisors is an integer number (495900).

Almost surely, 213313349 is an apocalyptic number.

It is an amenable number.

13313349 is a deficient number, since it is larger than the sum of its proper divisors (10489851).

13313349 is a wasteful number, since it uses less digits than its factorization.

13313349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 13313349 is about 3648.7462230196. The cubic root of 13313349 is about 237.0076908256.

The spelling of 13313349 in words is "thirteen million, three hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 29 49 63 87 147 189 203 261 347 441 609 783 1041 1323 1421 1827 2429 3123 4263 5481 7287 9369 10063 12789 17003 21861 30189 38367 51009 65583 70441 90567 153027 211323 271701 459081 493087 633969 1479261 1901907 4437783 13313349