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678314112 = 27371271987
BaseRepresentation
bin101000011011100…
…100000010000000
31202021100221000220
4220123210002000
52342122022422
6151150343040
722544401110
oct5033440200
91667327026
10678314112
11318988483
1216b1baa80
13aa6b87c8
1466131040
153e83be5c
hex286e4080

678314112 has 128 divisors (see below), whose sum is σ = 2076426240. Its totient is φ = 192181248.

The previous prime is 678314107. The next prime is 678314141. The reversal of 678314112 is 211413876.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6783141122 = 920220069076697088, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340383 + ... + 342369.

It is an arithmetic number, because the mean of its divisors is an integer number (16222080).

Almost surely, 2678314112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038213120).

678314112 is an abundant number, since it is smaller than the sum of its proper divisors (1398112128).

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

678314112 is a wasteful number, since it uses less digits than its factorization.

678314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 678314112 is about 26044.4641334776. The cubic root of 678314112 is about 878.6386112266.

Adding to 678314112 its reverse (211413876), we get a palindrome (889727988).

The spelling of 678314112 in words is "six hundred seventy-eight million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 336 381 384 448 508 672 762 889 896 1016 1344 1524 1778 1987 2032 2667 2688 3048 3556 3974 4064 5334 5961 6096 7112 7948 8128 10668 11922 12192 13909 14224 15896 16256 21336 23844 24384 27818 28448 31792 41727 42672 47688 48768 55636 56896 63584 83454 85344 95376 111272 113792 127168 166908 170688 190752 222544 252349 254336 333816 341376 381504 445088 504698 667632 757047 763008 890176 1009396 1335264 1514094 1766443 1780352 2018792 2670528 3028188 3532886 4037584 5299329 5341056 6056376 7065772 8075168 10598658 12112752 14131544 16150336 21197316 24225504 28263088 32300672 42394632 48451008 56526176 84789264 96902016 113052352 169578528 226104704 339157056 678314112