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3423399912 = 2332472713733
BaseRepresentation
bin1100110000001100…
…1110111111101000
322211120201201211100
43030003032333220
524002342244122
61323411201400
7150556263522
oct31403167750
98746651740
103423399912
1114a7469029
127b65a6260
1342732992a
1424693ca12
1515082aaac
hexcc0cefe8

3423399912 has 96 divisors (see below), whose sum is σ = 9506465280. Its totient is φ = 1112434560.

The previous prime is 3423399853. The next prime is 3423399929. The reversal of 3423399912 is 2199933243.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915198 + ... + 918930.

It is an arithmetic number, because the mean of its divisors is an integer number (99025680).

Almost surely, 23423399912 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 3423399912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753232640).

3423399912 is an abundant number, since it is smaller than the sum of its proper divisors (6083065368).

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

3423399912 is a wasteful number, since it uses less digits than its factorization.

3423399912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4056 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3423399912 is about 58509.8274822273. The cubic root of 3423399912 is about 1507.1363518127.

The spelling of 3423399912 in words is "three billion, four hundred twenty-three million, three hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 271 282 376 423 542 564 813 846 1084 1128 1626 1692 2168 2439 3252 3384 3733 4878 6504 7466 9756 11199 12737 14932 19512 22398 25474 29864 33597 38211 44796 50948 67194 76422 89592 101896 114633 134388 152844 175451 229266 268776 305688 350902 458532 526353 701804 917064 1011643 1052706 1403608 1579059 2023286 2105412 3034929 3158118 4046572 4210824 6069858 6316236 8093144 9104787 12139716 12632472 18209574 24279432 36419148 47547221 72838296 95094442 142641663 190188884 285283326 380377768 427924989 570566652 855849978 1141133304 1711699956 3423399912