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4324004124 = 2231131289383
BaseRepresentation
bin1000000011011101…
…10001000100011100
3102011100101011112220
410001232301010130
532323421112444
61553022225340
7212103300006
oct40156610434
912140334486
104324004124
111919873330
12a08125250
1353baa532b
142d03b5376
151a4926619
hex101bb111c

4324004124 has 144 divisors (see below), whose sum is σ = 11530874880. Its totient is φ = 1250515200.

The previous prime is 4324004123. The next prime is 4324004159. The reversal of 4324004124 is 4214004234.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4324004094 and 4324004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324004123) 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 47 ways as a sum of consecutive naturals, for example, 11289637 + ... + 11290019.

It is an arithmetic number, because the mean of its divisors is an integer number (80075520).

Almost surely, 24324004124 is an apocalyptic number.

4324004124 is a gapful number since it is divisible by the number (44) 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 4324004124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765437440).

4324004124 is an abundant number, since it is smaller than the sum of its proper divisors (7206870756).

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

4324004124 is a wasteful number, since it uses less digits than its factorization.

4324004124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4324004124 is about 65757.1602489037. The cubic root of 4324004124 is about 1629.1536027535.

Adding to 4324004124 its reverse (4214004234), we get a palindrome (8538008358).

The spelling of 4324004124 in words is "four billion, three hundred twenty-four million, four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 89 93 124 132 178 186 267 341 356 372 383 534 682 766 961 979 1023 1068 1149 1364 1532 1922 1958 2046 2298 2759 2883 2937 3844 3916 4092 4213 4596 5518 5766 5874 8277 8426 10571 11036 11532 11748 11873 12639 16554 16852 21142 23746 25278 30349 31713 33108 34087 35619 42284 47492 50556 60698 63426 68174 71238 85529 91047 102261 121396 126852 130603 136348 142476 171058 182094 204522 256587 261206 342116 364188 368063 374957 391809 409044 513174 522412 736126 749914 783618 940819 1026348 1056697 1104189 1124871 1472252 1499828 1567236 1881638 2113394 2208378 2249742 2822457 3170091 3763276 4048693 4226788 4416756 4499484 5644914 6340182 8097386 11289828 11623667 12146079 12680364 16194772 23247334 24292158 32757607 34871001 46494668 48584316 65515214 69742002 98272821 131030428 139484004 196545642 360333677 393091284 720667354 1081001031 1441334708 2162002062 4324004124