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3234125424 = 243177354293
BaseRepresentation
bin1100000011000100…
…1101011001110000
322100101120121001010
43000301031121300
523110414003144
61252530310520
7143100420045
oct30061153160
98311517033
103234125424
11140a641332
12763128440
133c70594aa
1422974d1cc
1513ddde5b9
hexc0c4d670

3234125424 has 80 divisors (see below), whose sum is σ = 8967631392. Its totient is φ = 1000710144.

The previous prime is 3234125423. The next prime is 3234125449. The reversal of 3234125424 is 4245214323.

It is a junction number, because it is equal to n+sod(n) for n = 3234125391 and 3234125400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234125423) by changing a digit.

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, 32422 + ... + 86714.

Almost surely, 23234125424 is an apocalyptic number.

3234125424 is a gapful number since it is divisible by the number (34) 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 3234125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483815696).

3234125424 is an abundant number, since it is smaller than the sum of its proper divisors (5733505968).

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

3234125424 is a wasteful number, since it uses less digits than its factorization.

3234125424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54394 (or 54388 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 3234125424 is about 56869.3715808431. The cubic root of 3234125424 is about 1478.8323856276.

Adding to 3234125424 its reverse (4245214323), we get a palindrome (7479339747).

The spelling of 3234125424 in words is "three billion, two hundred thirty-four million, one hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 408 438 584 816 876 1168 1241 1752 2482 3504 3723 4964 7446 9928 14892 19856 29784 54293 59568 108586 162879 217172 325758 434344 651516 868688 922981 1303032 1845962 2606064 2768943 3691924 3963389 5537886 7383848 7926778 11075772 11890167 14767696 15853556 22151544 23780334 31707112 44303088 47560668 63414224 67377613 95121336 134755226 190242672 202132839 269510452 404265678 539020904 808531356 1078041808 1617062712 3234125424