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3441734816 = 251316574993
BaseRepresentation
bin1100110100100100…
…1011010010100000
322212212020020120212
43031021023102200
524022041003231
61325304153252
7151201156202
oct31511132240
98785206525
103441734816
111506851343
12800768828
1342b0791a0
14249152772
1515224d42b
hexcd24b4a0

3441734816 has 48 divisors (see below), whose sum is σ = 7303005864. Its totient is φ = 1587216384.

The previous prime is 3441734809. The next prime is 3441734843. The reversal of 3441734816 is 6184371443.

It can be written as a sum of positive squares in 4 ways, for example, as 1814419216 + 1627315600 = 42596^2 + 40340^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 686816 + ... + 691808.

Almost surely, 23441734816 is an apocalyptic number.

It is an amenable number.

3441734816 is an abundant number, since it is smaller than the sum of its proper divisors (3861271048).

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

3441734816 is a wasteful number, since it uses less digits than its factorization.

3441734816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6665 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 3441734816 is about 58666.3005140089. The cubic root of 3441734816 is about 1509.8221821807.

The spelling of 3441734816 in words is "three billion, four hundred forty-one million, seven hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1657 3314 4993 6628 9986 13256 19972 21541 26512 39944 43082 53024 64909 79888 86164 129818 159776 172328 259636 344656 519272 689312 1038544 2077088 8273401 16546802 33093604 66187208 107554213 132374416 215108426 264748832 430216852 860433704 1720867408 3441734816