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3299101344 = 2532711314799
BaseRepresentation
bin1100010010100100…
…0100101010100000
322111220211201020200
43010221010222200
523224032220334
61303211105200
7144516620160
oct30451045240
98456751220
103299101344
111443290740
12780a42200
13407659296
142342245a0
15144976799
hexc4a44aa0

3299101344 has 288 divisors, whose sum is σ = 12076646400. Its totient is φ = 829094400.

The previous prime is 3299101339. The next prime is 3299101349. The reversal of 3299101344 is 4431019923.

It is an interprime number because it is at equal distance from previous prime (3299101339) and next prime (3299101349).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3299101299 and 3299101308.

It is not an unprimeable number, because it can be changed into a prime (3299101349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685057 + ... + 689855.

It is an arithmetic number, because the mean of its divisors is an integer number (41932800).

Almost surely, 23299101344 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 3299101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038323200).

3299101344 is an abundant number, since it is smaller than the sum of its proper divisors (8777545056).

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

3299101344 is a wasteful number, since it uses less digits than its factorization.

3299101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3299101344 is about 57437.8041363003. The cubic root of 3299101344 is about 1488.6703968418.

The spelling of 3299101344 in words is "three billion, two hundred ninety-nine million, one hundred one thousand, three hundred forty-four".