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3225456 = 2432131723
BaseRepresentation
bin1100010011011101110000
320001212111100
430103131300
51311203311
6153044400
736262443
oct14233560
96055440
103225456
111903373
1210b6700
1388c170
145dd65a
1543aa56
hex313770

3225456 has 60 divisors (see below), whose sum is σ = 9726808. Its totient is φ = 991872.

The previous prime is 3225437. The next prime is 3225479. The reversal of 3225456 is 6545223.

3225456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011 + ... + 2733.

Almost surely, 23225456 is an apocalyptic number.

3225456 is a gapful number since it is divisible by the number (36) 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 3225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863404).

3225456 is an abundant number, since it is smaller than the sum of its proper divisors (6501352).

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

3225456 is a wasteful number, since it uses less digits than its factorization.

3225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1741 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 3225456 is about 1795.9554560178. The cubic root of 3225456 is about 147.7509812951.

It can be divided in two parts, 322 and 5456, that added together give a triangular number (5778 = T107).

The spelling of 3225456 in words is "three million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1723 1872 3446 5169 6892 10338 13784 15507 20676 22399 27568 31014 41352 44798 62028 67197 82704 89596 124056 134394 179192 201591 248112 268788 358384 403182 537576 806364 1075152 1612728 3225456