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3643434 = 233109619
BaseRepresentation
bin1101111001100000101010
320212002212000
431321200222
51413042214
6210031430
742653154
oct15714052
96762760
103643434
112069403
121278576
139a74a2
146abad4
154be809
hex37982a

3643434 has 32 divisors (see below), whose sum is σ = 8184000. Its totient is φ = 1201392.

The previous prime is 3643429. The next prime is 3643447. The reversal of 3643434 is 4343463.

3643434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36434342 = 26549222624712, which contains 22 as substring.

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 = 3643398 and 3643407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5577 + ... + 6195.

It is an arithmetic number, because the mean of its divisors is an integer number (255750).

Almost surely, 23643434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092000).

3643434 is an abundant number, since it is smaller than the sum of its proper divisors (4540566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3643434 is a wasteful number, since it uses less digits than its factorization.

3643434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3643434 is about 1908.7781432110. The cubic root of 3643434 is about 153.8757923539.

Adding to 3643434 its reverse (4343463), we get a palindrome (7986897).

The spelling of 3643434 in words is "three million, six hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 619 654 981 1238 1857 1962 2943 3714 5571 5886 11142 16713 33426 67471 134942 202413 404826 607239 1214478 1821717 3643434