Search a number
-
+
1673284144 = 24729722003
BaseRepresentation
bin110001110111100…
…0100101000110000
311022121120122022211
41203233010220300
511411330043034
6434012141504
756315452300
oct14357045060
94277518284
101673284144
11789586164
123a8467894
1320888437c
1411c32d600
159bd77d64
hex63bc4a30

1673284144 has 60 divisors (see below), whose sum is σ = 3810344664. Its totient is φ = 709696512.

The previous prime is 1673284099. The next prime is 1673284163. The reversal of 1673284144 is 4414823761.

It is a junction number, because it is equal to n+sod(n) for n = 1673284097 and 1673284106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65047 + ... + 87049.

Almost surely, 21673284144 is an apocalyptic number.

1673284144 is a gapful number since it is divisible by the number (14) 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 1673284144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905172332).

1673284144 is an abundant number, since it is smaller than the sum of its proper divisors (2137060520).

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

1673284144 is a wasteful number, since it uses less digits than its factorization.

1673284144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22122 (or 22109 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 1673284144 is about 40905.7959707423. The cubic root of 1673284144 is about 1187.1982066545.

The spelling of 1673284144 in words is "one billion, six hundred seventy-three million, two hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 388 392 679 776 784 1358 1552 2716 4753 5432 9506 10864 19012 22003 38024 44006 76048 88012 154021 176024 308042 352048 616084 1078147 1232168 2134291 2156294 2464336 4268582 4312588 8537164 8625176 14940037 17074328 17250352 29880074 34148656 59760148 104580259 119520296 209160518 239040592 418321036 836642072 1673284144