[go: up one dir, main page]

Search a number
-
+
3421248 = 263103173
BaseRepresentation
bin1101000011010001000000
320102211001220
431003101000
51333434443
6201155040
741036325
oct15032100
96384056
103421248
111a27486
12118ba80
1392a30c
14650b4c
15478a83
hex343440

3421248 has 56 divisors (see below), whose sum is σ = 9192768. Its totient is φ = 1122816.

The previous prime is 3421241. The next prime is 3421321. The reversal of 3421248 is 8421243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3421241) 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, 19690 + ... + 19862.

Almost surely, 23421248 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 3421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596384).

3421248 is an abundant number, since it is smaller than the sum of its proper divisors (5771520).

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

3421248 is a wasteful number, since it uses less digits than its factorization.

3421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3421248 is about 1849.6615906700. The cubic root of 3421248 is about 150.6820495775.

The spelling of 3421248 in words is "three million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 173 192 206 309 346 412 519 618 692 824 1038 1236 1384 1648 2076 2472 2768 3296 4152 4944 5536 6592 8304 9888 11072 16608 17819 19776 33216 35638 53457 71276 106914 142552 213828 285104 427656 570208 855312 1140416 1710624 3421248