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3220672 = 26721379
BaseRepresentation
bin1100010010010011000000
320001121221011
430102103000
51311030142
6153010304
736242500
oct14222300
96047834
103220672
1118aa814
1210b3994
13889c30
145dba00
15439417
hex3124c0

3220672 has 84 divisors (see below), whose sum is σ = 8107680. Its totient is φ = 1257984.

The previous prime is 3220669. The next prime is 3220681. The reversal of 3220672 is 2760223.

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40729 + ... + 40807.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

Almost surely, 23220672 is an apocalyptic number.

3220672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053840).

3220672 is an abundant number, since it is smaller than the sum of its proper divisors (4887008).

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

3220672 is a wasteful number, since it uses less digits than its factorization.

3220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3220672 is about 1794.6230802038. The cubic root of 3220672 is about 147.6778970092.

Adding to 3220672 its reverse (2760223), we get a palindrome (5980895).

The spelling of 3220672 in words is "three million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 79 91 98 104 112 158 182 196 208 224 316 364 392 416 448 553 632 637 728 784 832 1027 1106 1264 1274 1456 1568 2054 2212 2528 2548 2912 3136 3871 4108 4424 5056 5096 5824 7189 7742 8216 8848 10192 14378 15484 16432 17696 20384 28756 30968 32864 35392 40768 50323 57512 61936 65728 100646 115024 123872 201292 230048 247744 402584 460096 805168 1610336 3220672