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13734945 = 325726229
BaseRepresentation
bin110100011001…
…010000100001
3221211210210200
4310121100201
512004004240
61210215413
7224513400
oct64312041
927753720
1013734945
1178312a4
124724569
132acb8b3
141b77637
151314930
hexd19421

13734945 has 36 divisors (see below), whose sum is σ = 27698580. Its totient is φ = 6277824.

The previous prime is 13734913. The next prime is 13735013. The reversal of 13734945 is 54943731.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 7800849 = 2436^2 + 2793^2 .

It is not a de Polignac number, because 13734945 - 25 = 13734913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 910 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (769405).

Almost surely, 213734945 is an apocalyptic number.

13734945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13734945 is an abundant number, since it is smaller than the sum of its proper divisors (13963635).

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

13734945 is a wasteful number, since it uses less digits than its factorization.

13734945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6244 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13734945 is about 3706.0686717869. The cubic root of 13734945 is about 239.4835247695.

The spelling of 13734945 in words is "thirteen million, seven hundred thirty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 6229 18687 31145 43603 56061 93435 130809 218015 280305 305221 392427 654045 915663 1526105 1962135 2746989 4578315 13734945