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3439744704 = 26351120107
BaseRepresentation
bin1100110100000110…
…0101011011000000
322212201111010200000
43031001211123000
524021033312304
61325153400000
7151145230134
oct31501453300
98781433600
103439744704
111505712120
127bbb69000
1342a8303c6
14248b953c4
15151ea8939
hexcd0656c0

3439744704 has 168 divisors, whose sum is σ = 11154631488. Its totient is φ = 1042295040.

The previous prime is 3439744703. The next prime is 3439744741. The reversal of 3439744704 is 4074479343.

It is a self number, because there is not a number n which added to its sum of digits gives 3439744704.

It is not an unprimeable number, because it can be changed into a prime (3439744703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161019 + ... + 181125.

It is an arithmetic number, because the mean of its divisors is an integer number (66396616).

Almost surely, 23439744704 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 3439744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577315744).

3439744704 is an abundant number, since it is smaller than the sum of its proper divisors (7714886784).

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

3439744704 is a wasteful number, since it uses less digits than its factorization.

3439744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3439744704 is about 58649.3367737437. The cubic root of 3439744704 is about 1509.5311182524.

The spelling of 3439744704 in words is "three billion, four hundred thirty-nine million, seven hundred forty-four thousand, seven hundred four".