Search a number
-
+
3784248 = 2332132311
BaseRepresentation
bin1110011011111000111000
321010021000100
432123320320
51432043443
6213035400
744110536
oct16337070
97107010
103784248
112155186
121325b60
13a26600
14707156
154eb3d3
hex39be38

3784248 has 72 divisors (see below), whose sum is σ = 11133720. Its totient is φ = 1160640.

The previous prime is 3784241. The next prime is 3784267. The reversal of 3784248 is 8424873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12013 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (154635).

Almost surely, 23784248 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 3784248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566860).

3784248 is an abundant number, since it is smaller than the sum of its proper divisors (7349472).

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

3784248 is a wasteful number, since it uses less digits than its factorization.

3784248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3784248 is about 1945.3143704810. The cubic root of 3784248 is about 155.8331549529.

The spelling of 3784248 in words is "three million, seven hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 311 312 338 468 507 622 676 933 936 1014 1244 1352 1521 1866 2028 2488 2799 3042 3732 4043 4056 5598 6084 7464 8086 11196 12129 12168 16172 22392 24258 32344 36387 48516 52559 72774 97032 105118 145548 157677 210236 291096 315354 420472 473031 630708 946062 1261416 1892124 3784248