Search a number
-
+
1714639104 = 283543641
BaseRepresentation
bin110011000110011…
…0101000100000000
311102111101200200000
41212030311010000
512002421422404
6442050400000
760330122553
oct14614650400
94374350600
101714639104
117aa961812
123ba290000
13214303869
14123a1669a
15a07e6339
hex66335100

1714639104 has 216 divisors, whose sum is σ = 5254240992. Its totient is φ = 557383680.

The previous prime is 1714639079. The next prime is 1714639127. The reversal of 1714639104 is 4019364171.

1714639104 is a `hidden beast` number, since 1 + 7 + 1 + 4 + 639 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674624 + ... + 2675264.

Almost surely, 21714639104 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 1714639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627120496).

1714639104 is an abundant number, since it is smaller than the sum of its proper divisors (3539601888).

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

1714639104 is an frugal number, since it uses more digits than its factorization.

1714639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1714639104 is about 41408.2009268695. The cubic root of 1714639104 is about 1196.8991944053.

The spelling of 1714639104 in words is "one billion, seven hundred fourteen million, six hundred thirty-nine thousand, one hundred four".