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3425664 = 27311811
BaseRepresentation
bin1101000100010110000000
320110001010110
431010112000
51334110124
6201231320
741055234
oct15042600
96401113
103425664
111a2a830
121192540
1392c328
146525c4
1547a029
hex344580

3425664 has 64 divisors (see below), whose sum is σ = 9938880. Its totient is φ = 1036800.

The previous prime is 3425663. The next prime is 3425693. The reversal of 3425664 is 4665243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 313 + 44 + 25 + 57 + 65 + 68 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (155295).

Almost surely, 23425664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969440).

3425664 is an abundant number, since it is smaller than the sum of its proper divisors (6513216).

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

3425664 is a wasteful number, since it uses less digits than its factorization.

3425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3425664 is about 1850.8549375897. The cubic root of 3425664 is about 150.7468530100.

It can be divided in two parts, 342 and 5664, that added together give a palindrome (6006).

The spelling of 3425664 in words is "three million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 811 1056 1408 1622 2112 2433 3244 4224 4866 6488 8921 9732 12976 17842 19464 25952 26763 35684 38928 51904 53526 71368 77856 103808 107052 142736 155712 214104 285472 311424 428208 570944 856416 1141888 1712832 3425664