Search a number
-
+
274901328 = 243213146849
BaseRepresentation
bin10000011000101…
…010100101010000
3201011021102201200
4100120222211100
51030333320303
643140031200
76545423412
oct2030524520
9634242650
10274901328
111311a1489
1278092500
1344c50a10
142871c9b2
15192023a3
hex1062a950

274901328 has 60 divisors (see below), whose sum is σ = 828527700. Its totient is φ = 84584448.

The previous prime is 274901321. The next prime is 274901371. The reversal of 274901328 is 823109472.

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 245611584 = 5412^2 + 15672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 274901292 and 274901301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274901321) 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, 71553 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (13808795).

Almost surely, 2274901328 is an apocalyptic number.

It is an amenable number.

274901328 is an abundant number, since it is smaller than the sum of its proper divisors (553626372).

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

274901328 is a wasteful number, since it uses less digits than its factorization.

274901328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146876 (or 146867 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 274901328 is about 16580.1486121205. The cubic root of 274901328 is about 650.2179371765.

The spelling of 274901328 in words is "two hundred seventy-four million, nine hundred one thousand, three hundred twenty-eight".

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 1872 146849 293698 440547 587396 881094 1174792 1321641 1762188 1909037 2349584 2643282 3524376 3818074 5286564 5727111 7048752 7636148 10573128 11454222 15272296 17181333 21146256 22908444 30544592 34362666 45816888 68725332 91633776 137450664 274901328