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3483346432704 = 263131138491827
BaseRepresentation
bin110010101100000111101…
…000000111001011000000
3110100000010101212010002220
4302230013220013023000
5424032343141321304
611224121031011040
7506443400101215
oct62540750071300
913300111763086
103483346432704
111123308283616
12483119809a80
131c362a691b38
14c0848459b0c
15609232d1ad9
hex32b07a072c0

3483346432704 has 56 divisors (see below), whose sum is σ = 9286708018368. Its totient is φ = 1152251992320.

The previous prime is 3483346432703. The next prime is 3483346432711. The reversal of 3483346432704 is 4072346433843.

It is not an unprimeable number, because it can be changed into a prime (3483346432703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69220762 + ... + 69271065.

Almost surely, 23483346432704 is an apocalyptic number.

It is an amenable number.

3483346432704 is an abundant number, since it is smaller than the sum of its proper divisors (5803361585664).

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

3483346432704 is a wasteful number, since it uses less digits than its factorization.

3483346432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138491973 (or 138491963 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 51.

The spelling of 3483346432704 in words is "three trillion, four hundred eighty-three billion, three hundred forty-six million, four hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152 138491827 276983654 415475481 553967308 830950962 1107934616 1661901924 2215869232 3323803848 4431738464 6647607696 8863476928 13295215392 18142429337 26590430784 36284858674 54427288011 72569717348 108854576022 145139434696 217709152044 290278869392 435418304088 580557738784 870836608176 1161115477568 1741673216352 3483346432704