Search a number
-
+
4093344 = 253261233
BaseRepresentation
bin1111100111010110100000
321200222000100
433213112200
52021441334
6223422400
746535643
oct17472640
97628010
104093344
112346432
121454a00
13b041c8
14787a5a
1555cc99
hex3e75a0

4093344 has 72 divisors (see below), whose sum is σ = 11882052. Its totient is φ = 1336320.

The previous prime is 4093343. The next prime is 4093351. The reversal of 4093344 is 4433904.

4093344 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 3283344 + 810000 = 1812^2 + 900^2 .

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4093343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17452 + ... + 17684.

Almost surely, 24093344 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 4093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941026).

4093344 is an abundant number, since it is smaller than the sum of its proper divisors (7788708).

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

4093344 is a wasteful number, since it uses less digits than its factorization.

4093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4093344 is about 2023.2014234870. The cubic root of 4093344 is about 159.9654091889.

The spelling of 4093344 in words is "four million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 233 244 288 366 466 488 549 699 732 932 976 1098 1398 1464 1864 1952 2097 2196 2796 2928 3728 4194 4392 5592 5856 7456 8388 8784 11184 14213 16776 17568 22368 28426 33552 42639 56852 67104 85278 113704 127917 170556 227408 255834 341112 454816 511668 682224 1023336 1364448 2046672 4093344