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3640429 = 1331657
BaseRepresentation
bin1101111000110001101101
320211221201201
431320301231
51412443204
6210005501
742641332
oct15706155
96757651
103640429
112067121
121276891
139a6000
146aa989
154bd9a4
hex378c6d

3640429 has 8 divisors (see below), whose sum is σ = 3946040. Its totient is φ = 3358368.

The previous prime is 3640409. The next prime is 3640447. The reversal of 3640429 is 9240463.

It can be written as a sum of positive squares in 4 ways, for example, as 1435204 + 2205225 = 1198^2 + 1485^2 .

It is a de Polignac number, because none of the positive numbers 2k-3640429 is a prime.

It is a Duffinian number.

3640429 is a modest number, since divided by 429 gives 364 as remainder.

3640429 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3640397 and 3640406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 3025.

It is an arithmetic number, because the mean of its divisors is an integer number (493255).

Almost surely, 23640429 is an apocalyptic number.

It is an amenable number.

3640429 is a deficient number, since it is larger than the sum of its proper divisors (305611).

3640429 is an equidigital number, since it uses as much as digits as its factorization.

3640429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3640429 is about 1907.9908280702. The cubic root of 3640429 is about 153.8334766028.

The spelling of 3640429 in words is "three million, six hundred forty thousand, four hundred twenty-nine".

Divisors: 1 13 169 1657 2197 21541 280033 3640429