Search a number
-
+
34280691984 = 24327112281063
BaseRepresentation
bin11111111011010010…
…011101100100010000
310021111002011120211200
4133323102131210100
51030201324120414
623425350111200
72322336034260
oct377322354420
9107432146750
1034280691984
11135a1614300
12678864b500
1333041b4136
141932b877a0
15d59847109
hex7fb49d910

34280691984 has 180 divisors, whose sum is σ = 120517994688. Its totient is φ = 8904044160.

The previous prime is 34280691971. The next prime is 34280692003. The reversal of 34280691984 is 48919608243.

It is a self number, because there is not a number n which added to its sum of digits gives 34280691984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18564 + ... + 262499.

Almost surely, 234280691984 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 34280691984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60258997344).

34280691984 is an abundant number, since it is smaller than the sum of its proper divisors (86237302704).

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

34280691984 is a wasteful number, since it uses less digits than its factorization.

34280691984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281106 (or 281086 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34280691984 in words is "thirty-four billion, two hundred eighty million, six hundred ninety-one thousand, nine hundred eighty-four".