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13371345 = 3351319401
BaseRepresentation
bin110011000000…
…011111010001
3221011100001000
4303000133101
511410340340
61154332213
7221440341
oct63003721
927140030
1013371345
1176030a9
12458a069
132a02250
141ac0d21
151291d30
hexcc07d1

13371345 has 64 divisors (see below), whose sum is σ = 27014400. Its totient is φ = 6220800.

The previous prime is 13371331. The next prime is 13371361. The reversal of 13371345 is 54317331.

It is not a de Polignac number, because 13371345 - 24 = 13371329 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33145 + ... + 33545.

It is an arithmetic number, because the mean of its divisors is an integer number (422100).

Almost surely, 213371345 is an apocalyptic number.

13371345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13371345 is an abundant number, since it is smaller than the sum of its proper divisors (13643055).

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

13371345 is a wasteful number, since it uses less digits than its factorization.

13371345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 13371345 is about 3656.6849741262. The cubic root of 13371345 is about 237.3513455711.

Adding to 13371345 its reverse (54317331), we get a palindrome (67688676).

The spelling of 13371345 in words is "thirteen million, three hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 401 513 585 741 855 1203 1235 1755 2005 2223 2565 3609 3705 5213 6015 6669 7619 10827 11115 15639 18045 22857 26065 33345 38095 46917 54135 68571 78195 99047 114285 140751 205713 234585 297141 342855 495235 703755 891423 1028565 1485705 2674269 4457115 13371345