Search a number
-
+
3220272 = 24321119107
BaseRepresentation
bin1100010010001100110000
320001121101100
430102030300
51311022042
6153004400
736241356
oct14221460
96047340
103220272
1118aa490
1210b3700
138899b3
145db7d6
1543924c
hex312330

3220272 has 120 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 915840.

The previous prime is 3220271. The next prime is 3220289. The reversal of 3220272 is 2720223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3220271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30043 + ... + 30149.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 23220272 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 3220272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

3220272 is an abundant number, since it is smaller than the sum of its proper divisors (7225488).

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

3220272 is a wasteful number, since it uses less digits than its factorization.

3220272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3220272 is about 1794.5116327291. The cubic root of 3220272 is about 147.6717830052.

Adding to 3220272 its reverse (2720223), we get a palindrome (5940495).

The spelling of 3220272 in words is "three million, two hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 107 114 132 144 152 171 176 198 209 214 228 264 304 321 342 396 418 428 456 528 627 642 684 792 836 856 912 963 1177 1254 1284 1368 1584 1672 1712 1881 1926 2033 2354 2508 2568 2736 3344 3531 3762 3852 4066 4708 5016 5136 6099 7062 7524 7704 8132 9416 10032 10593 12198 14124 15048 15408 16264 18297 18832 21186 22363 24396 28248 30096 32528 36594 42372 44726 48792 56496 67089 73188 84744 89452 97584 134178 146376 169488 178904 201267 268356 292752 357808 402534 536712 805068 1073424 1610136 3220272