Search a number
-
+
3146761216 = 21017532
BaseRepresentation
bin1011101110001111…
…1100010000000000
322010022012000212201
42323203330100000
522421032324331
61240130002544
7140660012644
oct27343742000
98108160781
103146761216
1113752a0305
12739a16454
133b1c1b1b1
1421bccac24
151363d3a61
hexbb8fc400

3146761216 has 33 divisors (see below), whose sum is σ = 6294039861. Its totient is φ = 1572483072.

The previous prime is 3146761187. The next prime is 3146761253. The reversal of 3146761216 is 6121676413.

The square root of 3146761216 is 56096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89113600 + 3057647616 = 9440^2 + 55296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1794196 + ... + 1795948.

Almost surely, 23146761216 is an apocalyptic number.

3146761216 is the 56096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146761216

3146761216 is an abundant number, since it is smaller than the sum of its proper divisors (3147278645).

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

3146761216 is an frugal number, since it uses more digits than its factorization.

3146761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 1755 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The cubic root of 3146761216 is about 1465.3946318903.

The spelling of 3146761216 in words is "three billion, one hundred forty-six million, seven hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1753 3506 7012 14024 28048 56096 112192 224384 448768 897536 1795072 3073009 6146018 12292036 24584072 49168144 98336288 196672576 393345152 786690304 1573380608 3146761216