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3429801 = 321729773
BaseRepresentation
bin1101000101010110101001
320110020210200
431011112221
51334223201
6201302413
741103264
oct15052651
96406720
103429801
111a32951
121194a09
1393118b
14653cdb
1547b386
hex3455a9

3429801 has 24 divisors (see below), whose sum is σ = 5433480. Its totient is φ = 2075136.

The previous prime is 3429799. The next prime is 3429821. The reversal of 3429801 is 1089243.

3429801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 275625 + 3154176 = 525^2 + 1776^2 .

It is not a de Polignac number, because 3429801 - 21 = 3429799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3429821) 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 23 ways as a sum of consecutive naturals, for example, 4051 + ... + 4823.

It is an arithmetic number, because the mean of its divisors is an integer number (226395).

Almost surely, 23429801 is an apocalyptic number.

It is an amenable number.

3429801 is a deficient number, since it is larger than the sum of its proper divisors (2003679).

3429801 is a wasteful number, since it uses less digits than its factorization.

3429801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3429801 is about 1851.9721920159. The cubic root of 3429801 is about 150.8075116982.

The spelling of 3429801 in words is "three million, four hundred twenty-nine thousand, eight hundred one".

Divisors: 1 3 9 17 29 51 87 153 261 493 773 1479 2319 4437 6957 13141 22417 39423 67251 118269 201753 381089 1143267 3429801