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678396312 = 2332113127631
BaseRepresentation
bin101000011011111…
…000000110011000
31202021112002210100
4220123320012120
52342132140222
6151152215400
722545162546
oct5033700630
91667462710
10678396312
11318a34210
1216b23a560
13aa717049
1466152d96
153e8564ac
hex286f8198

678396312 has 96 divisors (see below), whose sum is σ = 2069084160. Its totient is φ = 198936000.

The previous prime is 678396289. The next prime is 678396317. The reversal of 678396312 is 213693876.

678396312 is a `hidden beast` number, since 6 + 7 + 8 + 3 + 9 + 631 + 2 = 666.

It is a super-2 number, since 2×6783963122 = 920443112270402688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678396317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10737 + ... + 38367.

It is an arithmetic number, because the mean of its divisors is an integer number (21552960).

Almost surely, 2678396312 is an apocalyptic number.

678396312 is a gapful number since it is divisible by the number (62) 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 678396312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034542080).

678396312 is an abundant number, since it is smaller than the sum of its proper divisors (1390687848).

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

678396312 is a wasteful number, since it uses less digits than its factorization.

678396312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27685 (or 27678 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 678396312 is about 26046.0421561511. The cubic root of 678396312 is about 878.6741017539.

The spelling of 678396312 in words is "six hundred seventy-eight million, three hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 27631 55262 82893 110524 165786 221048 248679 303941 331572 497358 607882 663144 856561 911823 994716 1215764 1713122 1823646 1989432 2431528 2569683 2735469 3426244 3647292 5139366 5470938 6852488 7294584 7709049 9422171 10278732 10941876 15418098 18844342 20557464 21883752 28266513 30836196 37688684 56533026 61672392 75377368 84799539 113066052 169599078 226132104 339198156 678396312