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4234334112 = 2532107313439
BaseRepresentation
bin1111110001100010…
…1100111110100000
3101221002122110102100
43330120230332200
532132442142422
61540100250400
7206634150261
oct37430547640
911832573370
104234334112
111883197988
129a20a0a00
1352633a658
142c2512968
1519bb127ac
hexfc62cfa0

4234334112 has 144 divisors (see below), whose sum is σ = 12220528320. Its totient is φ = 1390611456.

The previous prime is 4234334099. The next prime is 4234334119. The reversal of 4234334112 is 2114334324.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (6912) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (4234334119) by changing a digit.

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, 9645189 + ... + 9645627.

It is an arithmetic number, because the mean of its divisors is an integer number (84864780).

Almost surely, 24234334112 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 4234334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110264160).

4234334112 is an abundant number, since it is smaller than the sum of its proper divisors (7986194208).

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

4234334112 is a wasteful number, since it uses less digits than its factorization.

4234334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4234334112 is about 65071.7612486400. The cubic root of 4234334112 is about 1617.8131993937.

Adding to 4234334112 its reverse (2114334324), we get a palindrome (6348668436).

The spelling of 4234334112 in words is "four billion, two hundred thirty-four million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 313 321 428 439 626 642 856 878 939 963 1252 1284 1317 1712 1756 1878 1926 2504 2568 2634 2817 3424 3512 3756 3852 3951 5008 5136 5268 5634 7024 7512 7704 7902 10016 10272 10536 11268 14048 15024 15408 15804 21072 22536 30048 30816 31608 33491 42144 45072 46973 63216 66982 90144 93946 100473 126432 133964 137407 140919 187892 200946 267928 274814 281838 301419 375784 401892 412221 422757 535856 549628 563676 602838 751568 803784 824442 845514 1071712 1099256 1127352 1205676 1236663 1503136 1607568 1648884 1691028 2198512 2254704 2411352 2473326 3215136 3297768 3382056 4397024 4509408 4822704 4946652 6595536 6764112 9645408 9893304 13191072 13528224 14702549 19786608 29405098 39573216 44107647 58810196 88215294 117620392 132322941 176430588 235240784 264645882 352861176 470481568 529291764 705722352 1058583528 1411444704 2117167056 4234334112