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3424321312 = 25412719631
BaseRepresentation
bin1100110000011010…
…1111111100100000
322211122110112202021
43030012233330200
524003111240222
61323443031224
7150600152026
oct31406577440
98748415667
103424321312
1114a7a38315
127b696b514
13427590139
14246adc716
1515095dac7
hexcc1aff20

3424321312 has 48 divisors (see below), whose sum is σ = 6932265984. Its totient is φ = 1664064000.

The previous prime is 3424321309. The next prime is 3424321333. The reversal of 3424321312 is 2131234243.

3424321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350737 + ... + 360367.

It is an arithmetic number, because the mean of its divisors is an integer number (144422208).

Almost surely, 23424321312 is an apocalyptic number.

3424321312 is a gapful number since it is divisible by the number (32) 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 3424321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466132992).

3424321312 is an abundant number, since it is smaller than the sum of its proper divisors (3507944672).

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

3424321312 is a wasteful number, since it uses less digits than its factorization.

3424321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9945 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 3424321312 is about 58517.7008434200. The cubic root of 3424321312 is about 1507.2715537467.

Adding to 3424321312 its reverse (2131234243), we get a palindrome (5555555555).

It can be divided in two parts, 34243 and 21312, that added together give a palindrome (55555).

The spelling of 3424321312 in words is "three billion, four hundred twenty-four million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 271 328 542 656 1084 1312 2168 4336 8672 9631 11111 19262 22222 38524 44444 77048 88888 154096 177776 308192 355552 394871 789742 1579484 2610001 3158968 5220002 6317936 10440004 12635872 20880008 41760016 83520032 107010041 214020082 428040164 856080328 1712160656 3424321312