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3385635 = 351117271
BaseRepresentation
bin1100111010100100100011
320101000012220
430322210203
51331320020
6200322123
740530441
oct14724443
96330186
103385635
111a02750
121173343
13917046
14641b91
1546d240
hex33a923

3385635 has 48 divisors (see below), whose sum is σ = 6365952. Its totient is φ = 1523200.

The previous prime is 3385633. The next prime is 3385637. The reversal of 3385635 is 5365833.

3385635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3385633) and next prime (3385637).

It is not a de Polignac number, because 3385635 - 21 = 3385633 is a prime.

It is a super-2 number, since 2×33856352 = 22925048706450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3385596 and 3385605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47650 + ... + 47720.

It is an arithmetic number, because the mean of its divisors is an integer number (132624).

Almost surely, 23385635 is an apocalyptic number.

3385635 is a deficient number, since it is larger than the sum of its proper divisors (2980317).

3385635 is a wasteful number, since it uses less digits than its factorization.

3385635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 3385635 is about 1840.0095108450. The cubic root of 3385635 is about 150.1573903530.

The spelling of 3385635 in words is "three million, three hundred eighty-five thousand, six hundred thirty-five".

Divisors: 1 3 5 11 15 17 33 51 55 71 85 165 187 213 255 289 355 561 781 867 935 1065 1207 1445 2343 2805 3179 3621 3905 4335 6035 9537 11715 13277 15895 18105 20519 39831 47685 61557 66385 102595 199155 225709 307785 677127 1128545 3385635