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677935368 = 2332118310313
BaseRepresentation
bin101000011010000…
…111100100001000
31202020122200111100
4220122013210020
52342022412433
6151134301400
722541232645
oct5032074410
91666580440
10677935368
11318749970
1216b057860
13aa5b52b6
1466072dcc
153e7b4b13
hex28687908

677935368 has 96 divisors (see below), whose sum is σ = 2027319840. Its totient is φ = 202940160.

The previous prime is 677935361. The next prime is 677935381. The reversal of 677935368 is 863539776.

It is not an unprimeable number, because it can be changed into a prime (677935361) 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 23 ways as a sum of consecutive naturals, for example, 60580 + ... + 70892.

It is an arithmetic number, because the mean of its divisors is an integer number (21117915).

Almost surely, 2677935368 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 677935368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013659920).

677935368 is an abundant number, since it is smaller than the sum of its proper divisors (1349384472).

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

677935368 is a wasteful number, since it uses less digits than its factorization.

677935368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419 (or 10412 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 677935368 is about 26037.1920145011. The cubic root of 677935368 is about 878.4750483322.

The spelling of 677935368 in words is "six hundred seventy-seven million, nine hundred thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10313 10956 16434 20626 21912 30939 32868 41252 61878 65736 82504 92817 113443 123756 185634 226886 247512 340329 371268 453772 680658 742536 855979 907544 1020987 1361316 1711958 2041974 2567937 2722632 3423916 4083948 5135874 6847832 7703811 8167896 9415769 10271748 15407622 18831538 20543496 28247307 30815244 37663076 56494614 61630488 75326152 84741921 112989228 169483842 225978456 338967684 677935368