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677309616 = 243229592749
BaseRepresentation
bin101000010111101…
…110110010110000
31202012110220010100
4220113232302300
52341342401431
6151113032400
722533015414
oct5027566260
91665426110
10677309616
11318361815
1216a9b5700
13aa426529
1465d4cd44
153e6de4e6
hex285eecb0

677309616 has 120 divisors (see below), whose sum is σ = 1994850000. Its totient is φ = 214212096.

The previous prime is 677309603. The next prime is 677309617. The reversal of 677309616 is 616903776.

677309616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (677309617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245010 + ... + 247758.

It is an arithmetic number, because the mean of its divisors is an integer number (16623750).

Almost surely, 2677309616 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 677309616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997425000).

677309616 is an abundant number, since it is smaller than the sum of its proper divisors (1317540384).

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

677309616 is a wasteful number, since it uses less digits than its factorization.

677309616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 677309616 is about 26025.1727371789. The cubic root of 677309616 is about 878.2046800136.

The spelling of 677309616 in words is "six hundred seventy-seven million, three hundred nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 348 354 464 472 522 531 696 708 944 1044 1062 1392 1416 1711 2088 2124 2749 2832 3422 4176 4248 5133 5498 6844 8247 8496 10266 10996 13688 15399 16494 20532 21992 24741 27376 30798 32988 41064 43984 49482 61596 65976 79721 82128 98964 123192 131952 159442 162191 197928 239163 246384 318884 324382 395856 478326 486573 637768 648764 717489 956652 973146 1275536 1297528 1434978 1459719 1913304 1946292 2595056 2869956 2919438 3826608 3892584 4703539 5739912 5838876 7785168 9407078 11479824 11677752 14110617 18814156 23355504 28221234 37628312 42331851 56442468 75256624 84663702 112884936 169327404 225769872 338654808 677309616