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12830319 = 341511049
BaseRepresentation
bin110000111100…
…011001101111
3220010211220000
4300330121233
511241032234
61134555343
7214025115
oct60743157
926124800
1012830319
117273677
124368b53
132872c08
1419bdab5
1511d6899
hexc3c66f

12830319 has 20 divisors (see below), whose sum is σ = 19311600. Its totient is φ = 8488800.

The previous prime is 12830309. The next prime is 12830327. The reversal of 12830319 is 91303821.

It is not a de Polignac number, because 12830319 - 24 = 12830303 is a prime.

It is a super-2 number, since 2×128303192 = 329234171283522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12830292 and 12830301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11707 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (965580).

Almost surely, 212830319 is an apocalyptic number.

12830319 is a deficient number, since it is larger than the sum of its proper divisors (6481281).

12830319 is a wasteful number, since it uses less digits than its factorization.

12830319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12830319 is about 3581.9434668906. The cubic root of 12830319 is about 234.1059677839.

The spelling of 12830319 in words is "twelve million, eight hundred thirty thousand, three hundred nineteen".

Divisors: 1 3 9 27 81 151 453 1049 1359 3147 4077 9441 12231 28323 84969 158399 475197 1425591 4276773 12830319