Search a number
-
+
34788846708 = 223371119220177
BaseRepresentation
bin100000011001100100…
…111010110001110100
310022210111100112002000
4200121210322301310
51032221421043313
623552021415300
72341046214030
oct403144726164
9108714315060
1034788846708
1113832440490
1268aa86a530
133385562bc5
1419804631c0
15d89271673
hex81993ac74

34788846708 has 192 divisors, whose sum is σ = 118367692800. Its totient is φ = 8560442880.

The previous prime is 34788846661. The next prime is 34788846749. The reversal of 34788846708 is 80764888743.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47916 + ... + 268092.

It is an arithmetic number, because the mean of its divisors is an integer number (616498400).

Almost surely, 234788846708 is an apocalyptic number.

34788846708 is a gapful number since it is divisible by the number (38) 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 34788846708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59183846400).

34788846708 is an abundant number, since it is smaller than the sum of its proper divisors (83578846092).

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

34788846708 is a wasteful number, since it uses less digits than its factorization.

34788846708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220227 (or 220219 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 34788846708 in words is "thirty-four billion, seven hundred eighty-eight million, eight hundred forty-six thousand, seven hundred eight".