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676930440 = 233589241263
BaseRepresentation
bin101000010110010…
…010001110001000
31202011202121222210
4220112102032020
52341243233230
6151100545120
722526546064
oct5026221610
91664677883
10676930440
1131812294a
1216a8521a0
13aa322a74
1465c90aa4
153e666eb0
hex28592388

676930440 has 128 divisors (see below), whose sum is σ = 2069971200. Its totient is φ = 177070080.

The previous prime is 676930427. The next prime is 676930451. The reversal of 676930440 is 44039676.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2573749 + ... + 2574011.

It is an arithmetic number, because the mean of its divisors is an integer number (16171650).

Almost surely, 2676930440 is an apocalyptic number.

676930440 is a gapful number since it is divisible by the number (60) 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 676930440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034985600).

676930440 is an abundant number, since it is smaller than the sum of its proper divisors (1393040760).

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

676930440 is a wasteful number, since it uses less digits than its factorization.

676930440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 676930440 is about 26017.8869241912. The cubic root of 676930440 is about 878.0407686163.

The spelling of 676930440 in words is "six hundred seventy-six million, nine hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 241 263 267 356 445 482 526 534 712 723 789 890 964 1052 1068 1205 1315 1335 1446 1578 1780 1928 2104 2136 2410 2630 2670 2892 3156 3560 3615 3945 4820 5260 5340 5784 6312 7230 7890 9640 10520 10680 14460 15780 21449 23407 28920 31560 42898 46814 63383 64347 70221 85796 93628 107245 117035 126766 128694 140442 171592 187256 190149 214490 234070 253532 257388 280884 316915 321735 351105 380298 428980 468140 507064 514776 561768 633830 643470 702210 760596 857960 936280 950745 1267660 1286940 1404420 1521192 1901490 2535320 2573880 2808840 3802980 5641087 7605960 11282174 16923261 22564348 28205435 33846522 45128696 56410870 67693044 84616305 112821740 135386088 169232610 225643480 338465220 676930440