Search a number
-
+
4067328 = 2123331
BaseRepresentation
bin1111100001000000000000
321122122022210
433201000000
52020123303
6223102120
746400046
oct17410000
97578283
104067328
112328931
121441940
13ac5405
1477c396
15555203
hex3e1000

4067328 has 52 divisors (see below), whose sum is σ = 10877648. Its totient is φ = 1351680.

The previous prime is 4067321. The next prime is 4067363. The reversal of 4067328 is 8237604.

It is a junction number, because it is equal to n+sod(n) for n = 4067295 and 4067304.

It is not an unprimeable number, because it can be changed into a prime (4067321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12123 + ... + 12453.

Almost surely, 24067328 is an apocalyptic number.

4067328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438824).

4067328 is an abundant number, since it is smaller than the sum of its proper divisors (6810320).

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

4067328 is an equidigital number, since it uses as much as digits as its factorization.

4067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4067328 is about 2016.7617608434. The cubic root of 4067328 is about 159.6257921520.

The spelling of 4067328 in words is "four million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 512 662 768 993 1024 1324 1536 1986 2048 2648 3072 3972 4096 5296 6144 7944 10592 12288 15888 21184 31776 42368 63552 84736 127104 169472 254208 338944 508416 677888 1016832 1355776 2033664 4067328