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3483649 = 132361191
BaseRepresentation
bin1101010010100000000001
320112222200001
431102200001
51342434044
6202400001
741416261
oct15224001
96488601
103483649
111a6a354
121200001
1394c840
146697a1
1548c2d4
hex352801

3483649 has 16 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 3009600.

The previous prime is 3483643. The next prime is 3483659. The reversal of 3483649 is 9463843.

It is a cyclic number.

It is not a de Polignac number, because 3483649 - 25 = 3483617 is a prime.

It is a d-powerful number, because it can be written as 313 + 4 + 85 + 313 + 6 + 49 + 92 .

It is a Duffinian number.

Its product of digits (62208) is a multiple of the sum of its prime divisors (288).

3483649 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18144 + ... + 18334.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

It is a Proth number, since it is equal to 1701 ⋅ 211 + 1 and 1701 < 211.

Almost surely, 23483649 is an apocalyptic number.

It is an amenable number.

3483649 is a deficient number, since it is larger than the sum of its proper divisors (516095).

3483649 is a wasteful number, since it uses less digits than its factorization.

3483649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 62208, while the sum is 37.

The square root of 3483649 is about 1866.4535890292. The cubic root of 3483649 is about 151.5926448489.

The spelling of 3483649 in words is "three million, four hundred eighty-three thousand, six hundred forty-nine".

Divisors: 1 13 23 61 191 299 793 1403 2483 4393 11651 18239 57109 151463 267973 3483649