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4431000324 = 22323157293349
BaseRepresentation
bin1000010000001101…
…11011001100000100
3102102210201010202010
410020012323030010
533033314002244
62011403414220
7214542611202
oct41006731404
912383633663
104431000324
111974203143
12a37b24370
13557cc83aa
143006a8072
151ae00deb9
hex1081bb304

4431000324 has 96 divisors (see below), whose sum is σ = 10925510400. Its totient is φ = 1394984448.

The previous prime is 4431000253. The next prime is 4431000331. The reversal of 4431000324 is 4230001344.

It is a self number, because there is not a number n which added to its sum of digits gives 4431000324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12696102 + ... + 12696450.

It is an arithmetic number, because the mean of its divisors is an integer number (113807400).

Almost surely, 24431000324 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 4431000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462755200).

4431000324 is an abundant number, since it is smaller than the sum of its proper divisors (6494510076).

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

4431000324 is a wasteful number, since it uses less digits than its factorization.

4431000324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4431000324 is about 66565.7593962542. The cubic root of 4431000324 is about 1642.4819058864.

Adding to 4431000324 its reverse (4230001344), we get a palindrome (8661001668).

The spelling of 4431000324 in words is "four billion, four hundred thirty-one million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 276 293 314 349 471 586 628 698 879 942 1047 1172 1396 1758 1884 2094 3516 3611 4188 6739 7222 8027 10833 13478 14444 16054 20217 21666 24081 26956 32108 40434 43332 46001 48162 54793 80868 92002 96324 102257 109586 138003 164379 184004 204514 219172 276006 306771 328758 409028 552012 613542 657516 1058023 1227084 1260239 2116046 2351911 2520478 3174069 3780717 4232092 4703822 5040956 6348138 7055733 7561434 9407644 12696276 14111466 15122868 16054349 28222932 32108698 48163047 64217396 96326094 192652188 369250027 738500054 1107750081 1477000108 2215500162 4431000324