Search a number
-
+
3424248 = 233383191
BaseRepresentation
bin1101000011111111111000
320102222012000
431003333320
51334033443
6201221000
741051142
oct15037770
96388160
103424248
111a29763
121191760
1392b7a9
14651c92
154798d3
hex343ff8

3424248 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1121760.

The previous prime is 3424243. The next prime is 3424249. The reversal of 3424248 is 8424243.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17833 + ... + 18023.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 23424248 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 3424248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3424248 is an abundant number, since it is smaller than the sum of its proper divisors (6252552).

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

3424248 is a wasteful number, since it uses less digits than its factorization.

3424248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3424248 is about 1850.4723721256. The cubic root of 3424248 is about 150.7260797174.

The spelling of 3424248 in words is "three million, four hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 191 216 249 332 382 498 573 664 747 764 996 1146 1494 1528 1719 1992 2241 2292 2988 3438 4482 4584 5157 5976 6876 8964 10314 13752 15853 17928 20628 31706 41256 47559 63412 95118 126824 142677 190236 285354 380472 428031 570708 856062 1141416 1712124 3424248