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3332064 = 25361569
BaseRepresentation
bin1100101101011111100000
320021021201210
430231133200
51323111224
6155230120
740215321
oct14553740
96237653
103332064
11197647a
121148340
138c8848
1462a448
1545c429
hex32d7e0

3332064 has 48 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1090560.

The previous prime is 3332059. The next prime is 3332083. The reversal of 3332064 is 4602333.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33320642 = 22205301000192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5572 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 23332064 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 3332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3332064 is an abundant number, since it is smaller than the sum of its proper divisors (5573616).

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

3332064 is a wasteful number, since it uses less digits than its factorization.

3332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3332064 is about 1825.3942040009. The cubic root of 3332064 is about 149.3611944898.

Adding to 3332064 its reverse (4602333), we get a palindrome (7934397).

The spelling of 3332064 in words is "three million, three hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 569 732 976 1138 1464 1707 1952 2276 2928 3414 4552 5856 6828 9104 13656 18208 27312 34709 54624 69418 104127 138836 208254 277672 416508 555344 833016 1110688 1666032 3332064