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3220448 = 257111307
BaseRepresentation
bin1100010010001111100000
320001121121212
430102033200
51311023243
6153005252
736242030
oct14221740
96047555
103220448
1118aa630
1210b3828
13889aba
145db8c0
15439318
hex3123e0

3220448 has 48 divisors (see below), whose sum is σ = 7910784. Its totient is φ = 1253760.

The previous prime is 3220447. The next prime is 3220453. The reversal of 3220448 is 8440223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811 + ... + 3117.

It is an arithmetic number, because the mean of its divisors is an integer number (164808).

Almost surely, 23220448 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 3220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955392).

3220448 is an abundant number, since it is smaller than the sum of its proper divisors (4690336).

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

3220448 is a wasteful number, since it uses less digits than its factorization.

3220448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3220448 is about 1794.5606704706. The cubic root of 3220448 is about 147.6744732293.

The spelling of 3220448 in words is "three million, two hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1307 2464 2614 5228 9149 10456 14377 18298 20912 28754 36596 41824 57508 73192 100639 115016 146384 201278 230032 292768 402556 460064 805112 1610224 3220448