Search a number
-
+
1676934144 = 21033131463
BaseRepresentation
bin110001111110011…
…1111110000000000
311022212110002012000
41203330333300000
511413243343034
6434222304000
756361463554
oct14374776000
94285402160
101676934144
11790649496
123a9728000
13209561832
1411c9dd864
159c349599
hex63f3fc00

1676934144 has 176 divisors, whose sum is σ = 5014986240. Its totient is φ = 553512960.

The previous prime is 1676934143. The next prime is 1676934169. The reversal of 1676934144 is 4414396761.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1676934144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676934143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621657 + ... + 3622119.

It is an arithmetic number, because the mean of its divisors is an integer number (28494240).

Almost surely, 21676934144 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 1676934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507493120).

1676934144 is an abundant number, since it is smaller than the sum of its proper divisors (3338052096).

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

1676934144 is a wasteful number, since it uses less digits than its factorization.

1676934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1676934144 is about 40950.3863718036. The cubic root of 1676934144 is about 1188.0608070090.

The spelling of 1676934144 in words is "one billion, six hundred seventy-six million, nine hundred thirty-four thousand, one hundred forty-four".