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677604704 = 2574189829
BaseRepresentation
bin101000011000110…
…110110101100000
31202020000212220112
4220120312311200
52341431322304
6151123230452
722535354630
oct5030666540
91666025815
10677604704
11318543497
1216ab18428
13aa4ca93a
1465dc86c0
153e74bb6e
hex28636d60

677604704 has 96 divisors (see below), whose sum is σ = 1581249600. Its totient is φ = 279797760.

The previous prime is 677604689. The next prime is 677604721. The reversal of 677604704 is 407406776.

It is a super-3 number, since 3×6776047043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816962 + ... + 817790.

It is an arithmetic number, because the mean of its divisors is an integer number (16471350).

Almost surely, 2677604704 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 677604704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790624800).

677604704 is an abundant number, since it is smaller than the sum of its proper divisors (903644896).

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

677604704 is a wasteful number, since it uses less digits than its factorization.

677604704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The square root of 677604704 is about 26030.8414001545. The cubic root of 677604704 is about 878.3321992607.

The spelling of 677604704 in words is "six hundred seventy-seven million, six hundred four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 89 112 164 178 224 287 328 356 574 623 656 712 829 1148 1246 1312 1424 1658 2296 2492 2848 3316 3649 4592 4984 5803 6632 7298 9184 9968 11606 13264 14596 19936 23212 25543 26528 29192 33989 46424 51086 58384 67978 73781 92848 102172 116768 135956 147562 185696 204344 237923 271912 295124 408688 475846 516467 543824 590248 817376 951692 1032934 1087648 1180496 1903384 2065868 2360992 3025021 3806768 4131736 6050042 7613536 8263472 12100084 16526944 21175147 24200168 42350294 48400336 84700588 96800672 169401176 338802352 677604704