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3444301014 = 2371117232829
BaseRepresentation
bin1100110101001011…
…1101110011010110
322220001001121202020
43031102331303112
524023220113024
61325435154010
7151232034630
oct31522756326
98801047666
103444301014
111508244370
128015a5906
1342b76724b
1424961da50
151525a8979
hexcd4bdcd6

3444301014 has 192 divisors, whose sum is σ = 9517616640. Its totient is φ = 804418560.

The previous prime is 3444300961. The next prime is 3444301027. The reversal of 3444301014 is 4101034443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4154352 + ... + 4155180.

It is an arithmetic number, because the mean of its divisors is an integer number (49570920).

Almost surely, 23444301014 is an apocalyptic number.

3444301014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444301014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758808320).

3444301014 is an abundant number, since it is smaller than the sum of its proper divisors (6073315626).

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

3444301014 is a wasteful number, since it uses less digits than its factorization.

3444301014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3444301014 is about 58688.1675808676. The cubic root of 3444301014 is about 1510.1973360214.

Adding to 3444301014 its reverse (4101034443), we get a palindrome (7545335457).

The spelling of 3444301014 in words is "three billion, four hundred forty-four million, three hundred one thousand, fourteen".