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13734045 = 32513171381
BaseRepresentation
bin110100011001…
…000010011101
3221211202120100
4310121002131
512003442140
61210211313
7224510643
oct64310235
927752510
1013734045
117830656
124723b39
132acb370
141b77193
151314530
hexd1909d

13734045 has 48 divisors (see below), whose sum is σ = 27164592. Its totient is φ = 6359040.

The previous prime is 13734041. The next prime is 13734047. The reversal of 13734045 is 54043731.

It can be written as a sum of positive squares in 8 ways, for example, as 272484 + 13461561 = 522^2 + 3669^2 .

It is not a de Polignac number, because 13734045 - 22 = 13734041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13734041) 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, 9255 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (565929).

Almost surely, 213734045 is an apocalyptic number.

13734045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13734045 is a deficient number, since it is larger than the sum of its proper divisors (13430547).

13734045 is a wasteful number, since it uses less digits than its factorization.

13734045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 13734045 is about 3705.9472473310. The cubic root of 13734045 is about 239.4782938329.

Adding to 13734045 its reverse (54043731), we get a palindrome (67777776).

The spelling of 13734045 in words is "thirteen million, seven hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1381 1989 3315 4143 6905 9945 12429 17953 20715 23477 53859 62145 70431 89765 117385 161577 211293 269295 305201 352155 807885 915603 1056465 1526005 2746809 4578015 13734045