Search a number
-
+
12273417 = 331373479
BaseRepresentation
bin101110110100…
…011100001001
3212002112222000
4232310130021
511120222132
61115021213
7206215362
oct56643411
925075860
1012273417
116a23222
12413a809
1327095a0
1418b6b69
15112687c
hexbb4709

12273417 has 32 divisors (see below), whose sum is σ = 19891200. Its totient is φ = 7433856.

The previous prime is 12273403. The next prime is 12273433. The reversal of 12273417 is 71437221.

It is a happy number.

12273417 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12273417 - 26 = 12273353 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12273497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25384 + ... + 25862.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 212273417 is an apocalyptic number.

It is an amenable number.

12273417 is a deficient number, since it is larger than the sum of its proper divisors (7617783).

12273417 is a wasteful number, since it uses less digits than its factorization.

12273417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12273417 is about 3503.3436885353. The cubic root of 12273417 is about 230.6686089786.

The spelling of 12273417 in words is "twelve million, two hundred seventy-three thousand, four hundred seventeen".

Divisors: 1 3 9 13 27 39 73 117 219 351 479 657 949 1437 1971 2847 4311 6227 8541 12933 18681 25623 34967 56043 104901 168129 314703 454571 944109 1363713 4091139 12273417