Search a number
-
+
3097728 = 27322689
BaseRepresentation
bin1011110100010010000000
312211101021200
423310102000
51243111403
6150221200
735221164
oct13642200
95741250
103097728
111826407
121054800
13845c9a
145a8ca4
15412ca3
hex2f4480

3097728 has 48 divisors (see below), whose sum is σ = 8917350. Its totient is φ = 1032192.

The previous prime is 3097727. The next prime is 3097739. The reversal of 3097728 is 8277903.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 28224 = 1752^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 3097692 and 3097701.

It is not an unprimeable number, because it can be changed into a prime (3097727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193 + ... + 2496.

Almost surely, 23097728 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 3097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458675).

3097728 is an abundant number, since it is smaller than the sum of its proper divisors (5819622).

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

3097728 is a wasteful number, since it uses less digits than its factorization.

3097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3097728 is about 1760.0363632607. The cubic root of 3097728 is about 145.7743433434.

The spelling of 3097728 in words is "three million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2689 5378 8067 10756 16134 21512 24201 32268 43024 48402 64536 86048 96804 129072 172096 193608 258144 344192 387216 516288 774432 1032576 1548864 3097728