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3644130 = 235723767
BaseRepresentation
bin1101111001101011100010
320212010210210
431321223202
51413103010
6210034550
742655200
oct15715342
96763723
103644130
112069986
121278a56
139a78b9
146ac070
154beb20
hex379ae2

3644130 has 96 divisors (see below), whose sum is σ = 10604736. Its totient is φ = 798336.

The previous prime is 3644129. The next prime is 3644149. The reversal of 3644130 is 314463.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3644097 and 3644106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54357 + ... + 54423.

It is an arithmetic number, because the mean of its divisors is an integer number (110466).

Almost surely, 23644130 is an apocalyptic number.

3644130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302368).

3644130 is an abundant number, since it is smaller than the sum of its proper divisors (6960606).

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

3644130 is a wasteful number, since it uses less digits than its factorization.

3644130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3644130 is about 1908.9604500880. The cubic root of 3644130 is about 153.8855899544.

Adding to 3644130 its reverse (314463), we get a palindrome (3958593).

The spelling of 3644130 in words is "three million, six hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 67 70 74 98 105 111 134 147 185 201 210 222 245 259 294 335 370 402 469 490 518 555 670 735 777 938 1005 1110 1295 1407 1470 1554 1813 2010 2345 2479 2590 2814 3283 3626 3885 4690 4958 5439 6566 7035 7437 7770 9065 9849 10878 12395 14070 14874 16415 17353 18130 19698 24790 27195 32830 34706 37185 49245 52059 54390 74370 86765 98490 104118 121471 173530 242942 260295 364413 520590 607355 728826 1214710 1822065 3644130