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677240704 = 2772359557
BaseRepresentation
bin101000010111011…
…101111110000000
31202012100101121001
4220113131332000
52341333200304
6151111341344
722532310460
oct5027357600
91665311531
10677240704
11318314a68
1216a981854
13aa40105a
1465d31ba0
153e6c8da4
hex285ddf80

677240704 has 128 divisors (see below), whose sum is σ = 1639180800. Its totient is φ = 272431104.

The previous prime is 677240701. The next prime is 677240717. The reversal of 677240704 is 407042776.

It is a happy number.

677240704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677240701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215594 + ... + 1216150.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 2677240704 is an apocalyptic number.

677240704 is a gapful number since it is divisible by the number (64) 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 677240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

677240704 is an abundant number, since it is smaller than the sum of its proper divisors (961940096).

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

677240704 is a wasteful number, since it uses less digits than its factorization.

677240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 677240704 is about 26023.8487545559. The cubic root of 677240704 is about 878.1748950664.

The spelling of 677240704 in words is "six hundred seventy-seven million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 64 92 112 118 128 161 184 224 236 322 368 413 448 472 557 644 736 826 896 944 1114 1288 1357 1472 1652 1888 2228 2576 2714 2944 3304 3776 3899 4456 5152 5428 6608 7552 7798 8912 9499 10304 10856 12811 13216 15596 17824 18998 20608 21712 25622 26432 31192 32863 35648 37996 43424 51244 52864 62384 65726 71296 75992 86848 89677 102488 124768 131452 151984 173696 179354 204976 230041 249536 262904 303968 358708 409952 460082 499072 525808 607936 717416 755849 819904 920164 1051616 1215872 1434832 1511698 1639808 1840328 2103232 2869664 3023396 3680656 4206464 5290943 5739328 6046792 7361312 10581886 11478656 12093584 14722624 21163772 24187168 29445248 42327544 48374336 84655088 96748672 169310176 338620352 677240704