Search a number
-
+
3027456 = 293473
BaseRepresentation
bin1011100011001000000000
312200210220000
423203020000
51233334311
6144520000
734506255
oct13431000
95623800
103027456
111788633
121020000
1381ccc3
1458b42c
153ec056
hex2e3200

3027456 has 100 divisors (see below), whose sum is σ = 9159942. Its totient is φ = 995328.

The previous prime is 3027439. The next prime is 3027457. The reversal of 3027456 is 6547203.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 518400 = 1584^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3027457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41436 + ... + 41508.

Almost surely, 23027456 is an apocalyptic number.

3027456 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 3027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579971).

3027456 is an abundant number, since it is smaller than the sum of its proper divisors (6132486).

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

3027456 is an frugal number, since it uses more digits than its factorization.

3027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3027456 is about 1739.9586201976. The cubic root of 3027456 is about 144.6636038436.

The spelling of 3027456 in words is "three million, twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 256 288 292 324 384 432 438 512 576 584 648 657 768 864 876 1152 1168 1296 1314 1536 1728 1752 1971 2304 2336 2592 2628 3456 3504 3942 4608 4672 5184 5256 5913 6912 7008 7884 9344 10368 10512 11826 13824 14016 15768 18688 20736 21024 23652 28032 31536 37376 41472 42048 47304 56064 63072 84096 94608 112128 126144 168192 189216 252288 336384 378432 504576 756864 1009152 1513728 3027456