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676684368 = 24343116843
BaseRepresentation
bin101000010101010…
…110001001010000
31202011022010110000
4220111112021100
52341212344433
6151051410000
722524502503
oct5025261120
91664263400
10676684368
11317a74a88
1216a753900
13aa267a69
1465c2913a
153e619113
hex28556250

676684368 has 100 divisors (see below), whose sum is σ = 2021819008. Its totient is φ = 218272320.

The previous prime is 676684363. The next prime is 676684369. The reversal of 676684368 is 863486676.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676684361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31755 + ... + 48597.

Almost surely, 2676684368 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 676684368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010909504).

676684368 is an abundant number, since it is smaller than the sum of its proper divisors (1345134640).

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

676684368 is a wasteful number, since it uses less digits than its factorization.

676684368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894 (or 16879 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 676684368 is about 26013.1575938024. The cubic root of 676684368 is about 877.9343630829.

The spelling of 676684368 in words is "six hundred seventy-six million, six hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 16843 20088 33686 40176 50529 67372 101058 134744 151587 202116 269488 303174 404232 454761 522133 606348 808464 909522 1044266 1212696 1364283 1566399 1819044 2088532 2425392 2728566 3132798 3638088 4177064 4699197 5457132 6265596 7276176 8354128 9398394 10914264 12531192 14097591 18796788 21828528 25062384 28195182 37593576 42292773 56390364 75187152 84585546 112780728 169171092 225561456 338342184 676684368