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4003324424 = 2311174362233
BaseRepresentation
bin1110111010011101…
…1110001000001000
3101022222221221200222
43232213132020020
531144322340144
61501125045212
7201130460531
oct35647361010
911288857628
104003324424
111774854990
12938856808
134ba516928
1429d97b688
151866d02ee
hexee9de208

4003324424 has 64 divisors (see below), whose sum is σ = 8872079040. Its totient is φ = 1672796160.

The previous prime is 4003324417. The next prime is 4003324427. The reversal of 4003324424 is 4244233004.

4003324424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4003324393 and 4003324402.

It is not an unprimeable number, because it can be changed into a prime (4003324427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33212 + ... + 95444.

It is an arithmetic number, because the mean of its divisors is an integer number (138626235).

Almost surely, 24003324424 is an apocalyptic number.

4003324424 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 4003324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436039520).

4003324424 is an abundant number, since it is smaller than the sum of its proper divisors (4868754616).

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

4003324424 is a wasteful number, since it uses less digits than its factorization.

4003324424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62310 (or 62306 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 4003324424 is about 63271.8296242491. The cubic root of 4003324424 is about 1587.8406963732.

Adding to 4003324424 its reverse (4244233004), we get a palindrome (8247557428).

The spelling of 4003324424 in words is "four billion, three million, three hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5848 8041 16082 32164 62233 64328 124466 248932 497864 684563 1057961 1369126 2115922 2676019 2738252 4231844 5352038 5476504 8463688 10704076 11637571 21408152 23275142 29436209 45492323 46550284 58872418 90984646 93100568 117744836 181969292 235489672 363938584 500415553 1000831106 2001662212 4003324424