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3424256 = 2141119
BaseRepresentation
bin1101000100000000000000
320102222012022
431010000000
51334034011
6201221012
741051153
oct15040000
96388168
103424256
111a29770
121191768
1392b7b4
14651c9a
154798db
hex344000

3424256 has 60 divisors (see below), whose sum is σ = 7864080. Its totient is φ = 1474560.

The previous prime is 3424249. The next prime is 3424261. The reversal of 3424256 is 6524243.

It is a d-powerful number, because it can be written as 313 + 46 + 29 + 48 + 211 + 57 + 68 .

Its product of digits (5760) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180215 + ... + 180233.

It is an arithmetic number, because the mean of its divisors is an integer number (131068).

Almost surely, 23424256 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 3424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932040).

3424256 is an abundant number, since it is smaller than the sum of its proper divisors (4439824).

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

3424256 is an equidigital number, since it uses as much as digits as its factorization.

3424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 32 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 3424256 is about 1850.4745337345. The cubic root of 3424256 is about 150.7261970967.

Adding to 3424256 its reverse (6524243), we get a palindrome (9948499).

The spelling of 3424256 in words is "three million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4096 4864 5632 6688 8192 9728 11264 13376 16384 19456 22528 26752 38912 45056 53504 77824 90112 107008 155648 180224 214016 311296 428032 856064 1712128 3424256