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675834096 = 243729431613
BaseRepresentation
bin101000010010000…
…110100011110000
31202002200221002110
4220102012203300
52341003142341
6151021245320
722514331540
oct5022064360
91662627073
10675834096
11317544183
1216a403840
13aa02aa42
1465a87320
153e4ec216
hex284868f0

675834096 has 160 divisors (see below), whose sum is σ = 2113436160. Its totient is φ = 181988352.

The previous prime is 675834091. The next prime is 675834097. The reversal of 675834096 is 690438576.

It is a super-2 number, since 2×6758340962 = 913503450632274432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675834091) 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 31 ways as a sum of consecutive naturals, for example, 418186 + ... + 419798.

It is an arithmetic number, because the mean of its divisors is an integer number (13208976).

Almost surely, 2675834096 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 675834096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056718080).

675834096 is an abundant number, since it is smaller than the sum of its proper divisors (1437602064).

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

675834096 is a wasteful number, since it uses less digits than its factorization.

675834096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 675834096 is about 25996.8093426867. The cubic root of 675834096 is about 877.5664929605.

The spelling of 675834096 in words is "six hundred seventy-five million, eight hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 56 58 84 86 87 112 116 129 168 172 174 203 232 258 301 336 344 348 406 464 516 602 609 688 696 812 903 1032 1204 1218 1247 1392 1613 1624 1806 2064 2408 2436 2494 3226 3248 3612 3741 4816 4839 4872 4988 6452 7224 7482 8729 9678 9744 9976 11291 12904 14448 14964 17458 19356 19952 22582 25808 26187 29928 33873 34916 38712 45164 46777 52374 59856 67746 69359 69832 77424 90328 93554 104748 135492 138718 139664 140331 180656 187108 208077 209496 270984 277436 280662 327439 374216 416154 418992 485513 541968 554872 561324 654878 748432 832308 971026 982317 1109744 1122648 1309756 1456539 1664616 1942052 1964634 2011411 2245296 2619512 2913078 3329232 3884104 3929268 4022822 5239024 5826156 6034233 7768208 7858536 8045644 11652312 12068466 14079877 15717072 16091288 23304624 24136932 28159754 32182576 42239631 48273864 56319508 84479262 96547728 112639016 168958524 225278032 337917048 675834096