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12684312 = 23321743241
BaseRepresentation
bin110000011000…
…110000011000
3212212102121100
4300120300120
511221344222
61131511400
7212546334
oct60306030
925772540
1012684312
117183a03
1242b8560
132821614
1419827c4
1511a84ac
hexc18c18

12684312 has 96 divisors (see below), whose sum is σ = 37374480. Its totient is φ = 3870720.

The previous prime is 12684307. The next prime is 12684323. The reversal of 12684312 is 21348621.

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 nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52512 + ... + 52752.

Almost surely, 212684312 is an apocalyptic number.

12684312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687240).

12684312 is an abundant number, since it is smaller than the sum of its proper divisors (24690168).

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

12684312 is a wasteful number, since it uses less digits than its factorization.

12684312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12684312 is about 3561.5041766085. The cubic root of 12684312 is about 233.2145481560.

It can be divided in two parts, 12684 and 312, that added together give a square (12996 = 1142).

The spelling of 12684312 in words is "twelve million, six hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 241 258 306 344 387 408 482 516 612 723 731 774 964 1032 1224 1446 1462 1548 1928 2169 2193 2892 2924 3096 4097 4338 4386 5784 5848 6579 8194 8676 8772 10363 12291 13158 16388 17352 17544 20726 24582 26316 31089 32776 36873 41452 49164 52632 62178 73746 82904 93267 98328 124356 147492 176171 186534 248712 294984 352342 373068 528513 704684 746136 1057026 1409368 1585539 2114052 3171078 4228104 6342156 12684312