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3382070753 is a prime number
BaseRepresentation
bin1100100110010110…
…0100110111100001
322201200221222212202
43021211210313201
523411302231003
61315333302545
7146545061405
oct31145446741
98650858782
103382070753
1114860aa8a6
127a4794a55
1341b8b90c9
14241261105
1514bdb5088
hexc9964de1

3382070753 has 2 divisors, whose sum is σ = 3382070754. Its totient is φ = 3382070752.

The previous prime is 3382070707. The next prime is 3382070779. The reversal of 3382070753 is 3570702833.

3382070753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3130626304 + 251444449 = 55952^2 + 15857^2 .

It is a cyclic number.

It is not a de Polignac number, because 3382070753 - 216 = 3382005217 is a prime.

It is a super-3 number, since 3×33820707533 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3382070453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1691035376 + 1691035377.

It is an arithmetic number, because the mean of its divisors is an integer number (1691035377).

Almost surely, 23382070753 is an apocalyptic number.

It is an amenable number.

3382070753 is a deficient number, since it is larger than the sum of its proper divisors (1).

3382070753 is an equidigital number, since it uses as much as digits as its factorization.

3382070753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 3382070753 is about 58155.5737053638. The cubic root of 3382070753 is about 1501.0467882826.

The spelling of 3382070753 in words is "three billion, three hundred eighty-two million, seventy thousand, seven hundred fifty-three".