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3643029 = 331397107
BaseRepresentation
bin1101111001011010010101
320212002022000
431321122111
51413034104
6210025513
742652035
oct15713225
96762260
103643029
112069075
121278299
139a7250
146ab8c5
154be639
hex379695

3643029 has 32 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 2198016.

The previous prime is 3643001. The next prime is 3643033. The reversal of 3643029 is 9203463.

It is not a de Polignac number, because 3643029 - 219 = 3118741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3642993 and 3643011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643099) 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 31 ways as a sum of consecutive naturals, for example, 33994 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 23643029 is an apocalyptic number.

3643029 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3643029 is a deficient number, since it is larger than the sum of its proper divisors (2284011).

3643029 is a wasteful number, since it uses less digits than its factorization.

3643029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3643029 is about 1908.6720514536. The cubic root of 3643029 is about 153.8700905896.

The spelling of 3643029 in words is "three million, six hundred forty-three thousand, twenty-nine".

Divisors: 1 3 9 13 27 39 97 107 117 291 321 351 873 963 1261 1391 2619 2889 3783 4173 10379 11349 12519 31137 34047 37557 93411 134927 280233 404781 1214343 3643029